The probability P(-2.14 ≤ z ≤ -0.33) is approximately 0.3545, rounded to four decimal places.
To find the probability P(-2.14 ≤ z ≤ -0.33) for a random variable z with a standard normal distribution, follow these steps:
1. Identify the given values: Lower bound = -2.14 and Upper bound = -0.33.
2. Use a standard normal distribution table or calculator to find the area to the left of each bound (also known as the cumulative probability or z-score).
3. For the lower bound, find the area to the left of -2.14. Let's call this value A1.
4. For the upper bound, find the area to the left of -0.33. Let's call this value A2.
5. Subtract the area of the lower bound from the area of the upper bound to find the probability between the two bounds: P(-2.14 ≤ z ≤ -0.33) = A2 - A1.
Using a standard normal distribution table or calculator:
A1 (area to the left of -2.14) = 0.0162
A2 (area to the left of -0.33) = 0.3707
Now, subtract A1 from A2 to find the probability between the two bounds:
P(-2.14 ≤ z ≤ -0.33) = A2 - A1 = 0.3707 - 0.0162 = 0.3545
Therefore, the probability P(-2.14 ≤ z ≤ -0.33) is approximately 0.3545.
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Your bedroom measures 278
meters by 314
meters. What is the area?
Answer:
The area is 278 m × 314 m = 87,292 m^2.
please helppp and thank youuuu
Answer:
Not sure but I think It is B
Step-by-step explanation:
Ramon plays outfield. In the last game, 15 balls were hit in his
direction. He caught 12 of them. What is the experimental probability
that he will catch the next ball hit in his direction?
a. What is the number of favorable events? _________________
b. What is the total number of trials? _________________
c. What is the experimental probability that Ramon will catch the next
ball hit in his direction?
________________________________
a. Ramon caught 12 out of the 15 balls hit in his direction in the last game. b. 15 balls were hit in Ramon's direction in the last game. c. n experimental probability of 12/15 or 0.8 that he will catch the next ball hit in his direction.
a. The number of favorable events is 12, since Ramon caught 12 out of the 15 balls hit in his direction in the last game.
b. The total number of trials is 15, since 15 balls were hit in Ramon's direction in the last game.
c. The experimental probability that Ramon will catch the next ball hit in his direction is 12/15 or 0.8. This is because the experimental probability of an event happening is the number of favorable outcomes divided by the total number of trials. In this case, Ramon had 12 favorable outcomes (balls caught) out of 15 trials (balls hit in his direction), giving an experimental probability of 12/15 or 0.8 that he will catch the next ball hit in his direction.
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Which provides stronger evidence against the null? hypothesis, a? P-value of 0.02 or a? P-value of? 0.03? Explain your answer.
Choose the correct answer below.
A. A? P-value of 0.02 provides stronger evidence than a? P-value of 0.03 because the? P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.
B. A? P-value of 0.02 provides stronger evidence than a? P-value of 0.03 because the? P-value is the probability of getting data at least as consistent with the null hypothesis as the actual data obtained.
C. A? P-value of 0.03 provides stronger evidence than a? P-value of 0.02 because the? P-value is the probability of getting data at least as consistent with the null hypothesis as the actual data obtained.
D. A? P-value of 0.03 provides stronger evidence than a? P-value of 0.02 because the? P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.
A. A P-value of 0.02 provides stronger evidence than a P-value of 0.03 because the P-value is the probability of getting data at least as inconsistent with the null hypothesis as the actual data obtained.
A smaller P-value indicates stronger evidence against the null hypothesis, as it indicates that it is less likely that the observed data is due to random chance or sampling error.
The correct answer is A.
A P-value of 0.02 indicates that there is a 2% chance of getting data as inconsistent with the null hypothesis as the actual data obtained.
This is a lower probability than a P-value of 0.03, which indicates a 3% chance of getting data as inconsistent with the null hypothesis as the actual data obtained.
Therefore, a P-value of 0.02 provides stronger evidence against the null hypothesis than a P-value of 0.03.
It's important to note that a lower P-value does not necessarily mean that the observed effect is large or practically significant. It only indicates that the observed effect is unlikely to have occurred by chance alone.
Therefore, it's important to consider both statistical and practical significance when interpreting the results of a hypothesis test.
The correct answer is A.
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Which term describes body weight that is more than 20 percent higher than the average weight for a person of a given age and height
Answer:
Obesity describes body weight that is more than 20 percent higher than the average weight for a person of a given age and height. It is a medical condition that is characterized by excessive body fat which poses various health risks including diabetes, heart disease, sleep apnea, and high blood pressure. Obesity may result from a variety of factors such as a sedentary lifestyle, poor dietary habits, genetics, hormonal imbalances, and certain medications. Treatment options for obesity include lifestyle changes, pharmaceutical interventions, and in severe cases, surgical procedures.
If mathhew rolls a number cube 90 times, how many times can he expect it to land on an odd number?
Find the Figure
Help ASAP due today
I will give you brainliest when I get a chance to
Thank you if you help!
The area of the figure , given that it is a parallogram , can be found to be 15 m ² .
How to find the area of a parallelogram ?The area of a parallelogram can be found by multiplying the height of the parallelogram, by the base of the same shape. That means the formula would be :
Area = base x height
Given that the base of this shape is 5 meters and the height of the shape is 3 meters , this means that the area would then be :
= 5 x 3
= 15 m ²
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NORMAL distribution is what shape?
how many in 1st deviation
2nd deviation
3rd deviation
A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.
The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.
The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.
The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.
It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.
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work out the sum of the interior angles of this irregular hexagon
Answer:
720
Step-by-step explanation:
In n -sided polygon,
sum of interior angles =(n−2)×180
Hexagon has 6 side
n=6
sum of interior angles of a hexagon =(6−2)×180
=720
A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart. 6.2 7
The boats are approximately 9.4 units apart.
To find the distance between two points in a coordinate plane, we can use the distance formula:
distance =[tex]\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):
distance = [tex]\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}[/tex]
distance = [tex]\sqrt{((-9.4)^2 + (0)^2)}[/tex]
distance =[tex]\sqrt{(88.36)}[/tex]
distance ≈ 9.4
Therefore, the boats are approximately 9.4 units apart.
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(a)
In this context, what is the observational unit?
A.Researcher
B.Student
C.GPA
D.Whether or not have pulled an all-nighter
B.Student
The observational unit in this context is the student. The correct answer is option b.
An observational unit is the entity or object that is being observed or measured in a study. In this case, the study is examining the relationship between pulling an all-nighter and GPA, so the unit of observation is the individual student.
The researcher is conducting the study, but is not the entity being observed. Similarly, GPA is a variable being measured and is not the unit of observation.
The variable of interest in this study is whether or not the student has pulled an all-nighter, but again, it is the student who is the unit of observation, since the study is examining how this variable is related to GPA at the individual level.
The correct answer is option b.
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In a school election, Jared recieved 76 votes. 60% of the students did not vote for him. What was the total number of votes cast?
The total number of votes cast in the school election was 190.
Let's assume the total number of votes cast is represented by "T".
Since 60% of the students did not vote for Jared, it means that 40% of the students voted for him. We can calculate 40% of the total number of students as:
40% = 0.4
0.4T = Votes for Jared
We know that Jared received 76 votes, so we can set up the equation:
0.4T = 76
To find the total number of votes cast, we can solve for T:
T = 76 / 0.4
T = 190
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FILL IN THE BLANK. To determine the number of distinct ways two or more experiments can be​ performed, the​ _______ principle can be used.
To determine the number of distinct ways two or more experiments can be performed, the multiplication principle can be used.
The multiplication principle is a fundamental counting technique in combinatorics that helps calculate the total number of outcomes for multiple experiments or events. When two or more independent events occur in a sequence, the total number of possible outcomes is the product of the individual outcomes of each event.
1. Identify the number of outcomes for each experiment or event.
2. Apply the multiplication principle by multiplying the number of outcomes for each event together.
For example, suppose you have two experiments: flipping a coin (2 outcomes - heads or tails) and rolling a die (6 outcomes - 1, 2, 3, 4, 5, or 6). To determine the number of distinct ways both experiments can be performed, simply multiply the outcomes of each experiment: 2 outcomes (coin) * 6 outcomes (die) = 12 distinct possible outcomes.
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In the regression model Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, where X is a continuous variable and D is a binary variable, ß3:
A) indicates the slope of the regression when D=1.
B) has a standard error that is not normally distributed even in large samples since D is not a normally distributed variable.
C) indicates the difference in the slopes of the two regressions.
D) has no meaning since (Xi x Di) = 0 when Di = 0.
In the given regression model, Yi = 30 + B1Xi + B2Di + B3(Xi x Di) + ui, B3 represents the interaction term between the continuous variable Xi and the binary variable Di.
The coefficient B3 indicates the difference in the slopes of the two regressions when Di = 0 and Di = 1.
Thus, it shows how the effect of Xi on Yi changes depending on the value of Di.
C) indicates the difference in the slopes of the two regressions.
In the given regression model, ß3 is the coefficient of the interaction term between X and D, which is (Xi x Di). The interaction term shows how the effect of X on Y changes when D changes from 0 to 1.
Therefore, the coefficient ß3 indicates the difference in the slopes of the two regressions (when D = 0 and D = 1), which represents the effect of the interaction between X and D on Y.
Option A is incorrect because the slope of the regression when D=1 is given by the coefficient ß1 (the coefficient of X), not by ß3.
Option B is incorrect because the standard error of the coefficient ß3 can be normally distributed in large samples, even if D is not normally distributed.
Option D is incorrect because the product (Xi x Di) is zero when Di = 0, but ß3 can still have a non-zero value when Di = 0.
C) indicates the difference in the slopes of the two regressions.
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any help would be appreciated thanks!
The equation (x + 3)² + (y - 1)² = 10 when converted to polar form is r + 6cos(θ) - 2sin(θ) = 0
Converting the equation to polar formFrom the question, we have the following parameters that can be used in our computation:
(x + 3)² + (y - 1)² = 10
In polar coordinates, we have
x = r cos(θ)
y = r sin(θ)
So, we have
(r cos(θ) + 3)² + (r sin(θ) - 1)² = 10
Expand
r²cos(θ) + 6rcos(θ) + 9 + r²sin(θ) - 2rsin(θ) + 1 = 10
Collect the like terms
r²cos(θ) + r²sin(θ) + 6rcos(θ) + 9 - 2rsin(θ) + 1 = 10
So, we have
r² + 6rcos(θ) + 9 - 2rsin(θ) + 1 = 10
Evaluate the like terms
r² + 6rcos(θ) - 2rsin(θ) = 0
Divide through by r
r + 6cos(θ) - 2sin(θ) = 0
So, the polar form is r + 6cos(θ) - 2sin(θ) = 0
The graph of the functionHere, we have
r = 6sin(2θ) and the interval 0 ≤ θ < 2π
See attachment for the graph
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The surface area of the regular pyramid is equal to 1209 m² to the nearest whole number. The first option is correct.
How to calculate for the surface area of the regular pyramidArea of a regular polygon = 1/2 × apothem × perimeter
Area of the hexagon = (1/2 × 8.5√3 × 102) m²
Area of the hexagon = 750.8440 m²
Area of one triangle face = (1/2 × 17 × 9) m²
Area of one triangle face = 76.5 m²
Area of six triangle face = (76.5 × 6) m²
Area of six triangle face = 459 m²
Surface area of the regular pyramid = 750.8440 m² + 459 m²
Surface area of the regular pyramid = 1209.8440 m²
Therefore, the surface area of the regular pyramid is equal to 1209 m² to the nearest whole number. The first option is correct.
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The universal quantifier â (read: for all) introduces a variable and then asserts that,
for any symbol that can be bound to that variable, a following statement holds. For
example, if we wished to assert that for all apples x, x is red or green we could say:
This is a logical symbol, represented by the symbol â, which introduces a variable and asserts that any symbol that can be bound to that variable will satisfy a following statement.
In your example, the variable is "x" and the statement being asserted is "x is red or green". This means that for any apple that can be represented by the variable "x", it will either be red or green. So the statement can be written as: "âx (x is an apple -> x is red or green)" which reads as "for all apples x, x is red or green".
In order to assert that for all apples x, x is red or green using the universal quantifier, we can formulate the statement as follows:
∀x (A(x) → (R(x) ∨ G(x)))
Here's a step-by-step explanation of the statement:
1. "∀x" is the universal quantifier, which introduces the variable 'x' and asserts that the following statement holds for all possible values of 'x'.
2. "A(x)" represents the property of being an apple for the variable 'x'.
3. "R(x)" represents the property of being red for the variable 'x'.
4. "G(x)" represents the property of being green for the variable 'x'.
5. "R(x) ∨ G(x)" represents the disjunction (logical OR) of 'x' being red or green.
6. "A(x) → (R(x) ∨ G(x))" is the statement that if 'x' is an apple, then 'x' is either red or green.
So, the statement ∀x (A(x) → (R(x) ∨ G(x))) asserts that for all apples x, x is red or green.
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Select ALL correct answers. Which of the following verify that the triangle is a right triangle? Figures are not drawn to scale.
Figure A
Figure B
Figure C
Figure D
Figure E
Figure F
The figure that verify if the triangle is a right triangle are given as follows:
Figure A.Figure C.Figure D.What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Hence the right triangles that respect the Pythagorean Theorem are given as follows:
Figure A, as 9² + 16² = 25².Figure C, as 12² + 5² = 13².Figure D, as 24² + 7² = 25².Figure E does not respect the theorem, as the hypotenuse should be of 5, while the side should be of 4.
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write an equation for the axis of symmetry for f (x)= 2x^2-8x+5
The equation for the axis of symmetry of the function f(x) = 2x² - 8x + 5 is x = 2.
What is the equation for the axis of symmetry of the function?Given the function in the question:
f(x) = 2x² - 8x + 5
The axis of symmetry of a parabola given by a quadratic function in the form f(x) = ax² + bx + c is given by the equation:
x = -b / 2a
Given the function f(x) = 2x² - 8x + 5, we can find the axis of symmetry by first identifying the values of a and b.
Hence:
a = 2 and b = -8,
so we can plug these values into the equation above to get:
x = -b / 2a
x = -(-8) / 2(2)
x = 8 / 4
x = 2
Therefore, the axis of symmetry is x = 2.
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What is the circumference of the following circle?
Use 3.14 for πpi and enter your answer as a decimal.
The circumference of the circle whose diameter is 3cm is 9.42 cm
What is the circumference of the circle?For a circle of diameter D, the circumference is given by the formula:
C = pi*D
Where pi = 3.14
On the diagram, we can see that the diameter of the circle is 3 centimeters, then we can replace that in the formula above to get the circumference:
C = 3.14*3cm
C = 9.42 cm
The circumference is 9.42cm
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Answer:
9.42 cm
Step-by-step explanation:
π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14. Pi is an irrational number, meaning that it cannot be expressed as a finite decimal or fraction. Instead, its decimal representation goes on forever without repeating. Pi has endless applications in mathematics and science, from calculating the area and perimeter of circles to modeling natural phenomena such as ocean waves and the stock market. Despite its infinite nature, pi remains one of the most important and fascinating mathematical constants in the world.
Isla walked 3/4 mile each way to and from school on Wednesday. How many miles did isla walk that day
Answer:
Step-by-step explanation:
20.9 miles
If we have an effect, would error variance go away?
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
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The price of Stock A at 9 A.M. was $13.64. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $14.14. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
The prices of the two stocks will be the same after 1.85 hours (or 1 hour and 51 minutes) since 9 A.M.
How to find the n how many hours will the prices of the two stocks be the sameEach stock's price in terms of time (in hours) since 9 a.m:
Stock A's price = 13.64 + 0.12t
Stock B's price = 14.14 - 0.15t
Let us find the time (in hours) when the prices of the two stocks will be the same so that we may put the two equations equal and solve for t:
13.64 + 0.12t = 14.14 - 0.15t
0.27t = 0.5
t = 1.85 hour
Therefore, the prices of the two stocks will be the same after 1.85 hours (or 1 hour and 51 minutes) since 9 A.M.
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A set of data has the trend line modeled by the equation y=1.5x+11. What value of x corresponds to a y value of 56?
Answer:
The value of x that corresponds to a y value of 56 is 30.
Step-by-step explanation:
To solve for the value of x that corresponds to a y value of 56, we can plug in 56 for y in the equation y=1.5x+11:
56 = 1.5x + 11
Simplifying this equation, we can subtract 11 from both sides:
45 = 1.5x
Then, we can divide both sides by 1.5 to solve for x:
x = 30
Therefore, the value of x that corresponds to a y value of 56 is 30.
A park in a subdivision is triangular shaped. Two adjacent sides of the park are 503 feet and
516 feet. The angle between the sides is 38°. To the nearest unit, what is the area of the park in
square yards?
17,755 square yards
26,632 square yards
8,877 square yards
11,363 square yards
The area of the park in square yards is: 79901 square yards
What is the area of the triangle?We are given that the two adjacent sides of the triangle formed will have the lengths as:
a = 503 ft
b = 516 ft
C = 38°.
Using law of cosines, we have:
c = √(503² + 516² - (2 * 503 * 516 * cos 38))
c = 332 yards
Area of a triangle with three sides given is:
A = √(s(s - a)(s - b)(s - c)
where:
s = (a + b + c)/2
s = (503 + 516 + 332)/2
s = 675.5 yards
A = √(675.5(675.5 - 503)(675.5 - 516)(675.5 - 332))
A = 79901 square yards
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A contact lens has a circular shape and a diameter of 14 millimeters (mm). Which measurement is closest to the circumference of the lens?
The circumferance of the given circular lens is 14π millimeters.
The diameter of the given circular lens is 14 millimeters. So, we can write the radius of the given lens as -
r = diameter/2 = 14/2 = 7 millimeters
r = 7 millimeters
We can write the circumferance as -
Circumferance = 2πr
Circumferance = 2 x π x 7
Circumferance = 14π millimeters.
So, the circumferance of the given circular lens is 14π millimeters.
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Calculate a number is tripled and then 17 is subtracted. If the result is 40. Find the original number
A number is tripled and then 17 is subtracted. The original number is 19.
To find the original number, we need to work backwards from the given result. Let's start by assigning a variable to the original number. Let's call it "n".
According to the problem, the number is tripled and then 17 is subtracted from the result. This can be expressed as:
3n - 17 = 40
To solve for "n", we need to isolate the variable on one side of the equation. We can do this by adding 17 to both sides of the equation:
3n = 57
Finally, we can solve for "n" by dividing both sides by 3:
n = 19
Therefore, the original number is 19.
We can check our answer by plugging it back into the original equation:
3(19) - 17 = 40
57 - 17 = 40
40 = 40
The equation checks out, so we can be confident that our answer of 19 is correct.
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How many three digit numbers with at least one even ditgit are there?
There are 775 three-digit numbers with at least one even digit.
To find the number of three-digit numbers with at least one even digit, we can use the principle of inclusion-exclusion.
There are 9 choices for the first digit (it can't be 0), and 10 choices for each of the second and third digits.
9 × 10 × 10 = 900
possible three-digit numbers in total.
Now, we need to count the number of three-digit numbers with no even digits.
There are 5 odd digits (1, 3, 5, 7, 9), so there are:
5 × 5 × 5 = 125
three-digit numbers with no even digits.
Therefore, the number of three-digit numbers with at least one even digit is:
900 - 125 = 775
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In a Poisson distribution, μ = 4.
a) What is the probability that x = 2? (Round the final answer to 4 decimal places.)
b) What is the probability that x ≤ 2? (Round the final answer to 4 decimal places.)
c) What is the probability that x > 2? (Round the final answer to 4 decimal places.)
The probability that x = 2 is approximately 0.1465, the probability that x ≤ 2 is approximately 0.2381, and the probability that x > 2 is approximately 0.7619, in a Poisson distribution with μ = 4.
a) The probability that x = 2 in a Poisson distribution with μ = 4 is given by the probability mass function:
[tex]P(x=2) = (e^-4)(4^2)/2! ≈ 0.1465[/tex]
b) The probability that x ≤ 2 in a Poisson distribution with μ = 4 is given by the cumulative distribution function:
P(x ≤ 2) = P(x=0) + P(x=1) + P(x=2)
[tex]= (e^-4)(4^0)/0! + (e^-4)(4^1)/1! + (e^-4)(4^2)/2![/tex]
≈ 0.2381
c) The probability that x > 2 in a Poisson distribution with μ = 4 is given by subtracting the probability of x ≤ 2 from 1:
P(x > 2) = 1 - P(x ≤ 2)
= 1 - 0.2381
≈ 0.7619
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What is wrong with the expression P(A) + P(A Ì) - 0.5?
The term -0.5 in the expression P(A) + P(A') - 0.5 has no mathematical or logical justification, and the expression is therefore not well-defined or meaningful. The sum of P(A) and P(A') is always equal to 1, and there is no reason to subtract 0.5 from it.
The expression P(A) + P(A') - 0.5 is not well-defined and does not have a clear interpretation because the term -0.5 is not related to the probabilities of events A and A' and has no mathematical or logical justification.
Probabilities are always between 0 and 1, and the sum of probabilities of all possible outcomes must be equal to 1. Therefore, the sum of P(A) and P(A') is always equal to 1, and there is no reason to subtract 0.5 from it.
If there is additional information or context provided, it might be possible to determine what the expression is intended to represent or calculate, but as it stands alone, the expression is not meaningful or valid.
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