Advanced Placement (AP) College

A random variable X has a mean of 120 and a standard deviation of 15. A random variable Y has a mean of 100 and a standard deviation of 9. If X and Y are independent, approximately what is the standard deviation of X - Y

Answers

Answer 1

The standard deviation of x - y is 12

X and Y are independent random variables

For random variable X, mean =120 and standard deviation =15

For random variable Y, mean =100 and standard deviation = 9

Let D be the difference of standard deviation of X and Y.

Variance can be defined as the square of standard deviation.

Hence, Variance of X = (standard deviation of X)2 = (15)2 = 225

And, variance of Y = (standard deviation of Y)2 = (9)2 = 81

SD(X - Y) = sqrt(SD(X)2 - SD(Y)2)

Hence, D = sqrt(225 - 81) = sqrt(14) = 12

Hence, the standard deviation of x - y is 12

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Related Questions

4: Benefactor most nearly means

A. donor
B. dictator
C. father
D. professor

Answers

Answer: C
This answer is C because a benefactor is a person that gives money or to help a person or cause. And a parent can do both.

Policy Violations examples from your readings, might arise during your academic career. How does academic dishonesty undermine the purpose of graduate school?

Answers

Examples of policy violations that might arise during your academic career include plagiarism, cheating on exams, falsifying data, and unauthorized collaboration.

Academic dishonesty undermines the purpose of graduate school in several ways. First, it violates the fundamental principles of academic integrity, which are essential to the credibility and legitimacy of the academic community. Second, it undermines the value of the degree by creating an uneven playing field where some students succeed through dishonest means. Third, it hinders the development of critical thinking, problem-solving, and research skills, which are essential to success in graduate school and beyond. Finally, it can damage your reputation and credibility, which can have long-term consequences for your career and professional development.

Failure to meet academic requirements: This could involve not meeting the minimum grade requirements for coursework, failing to complete required assignments or exams, or not maintaining the required GPA for the program.

Academic misconduct: This includes any behavior that violates the academic integrity policies of the institution, such as plagiarism, cheating, fabrication, or falsification.

Inappropriate conduct: This could involve behavior that disrupts the learning environment, such as engaging in harassment, discrimination, or other forms of inappropriate conduct.

Noncompliance with institutional policies: This could include failing to comply with policies related to research, use of institutional resources, or other policies established by the institution.

Violation of ethical standards: This could include behavior that violates the ethical standards established by the academic program or the profession, such as failing to disclose conflicts of interest or engaging in behavior that undermines the integrity of the research process.

It is important for graduate students to be aware of the policies and regulations established by their institution and to adhere to these standards to maintain their academic integrity and to avoid any negative consequences that could arise from violating these policies.

Cheating: This is when a student copies another student's work or uses unauthorized materials on an exam or assignment.

Plagiarism: This is when a student presents someone else's work as their own without giving credit.

Fabrication: This is when a student makes up information or data.

Tampering: This is when a student alters or destroys academic records or materials.

Collusion: This is when two or more students work together on an assignment or exam that is supposed to be completed individually.

Can mess up reputation of student & school

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bardai

In addition to enforcing such legislation as the Clean Water Act,
the Superfund has programs in place to help US consumers and industries use less water.
Congress has programs in place to help US consumers and industries use less water.
the EPA has programs in place to help US consumers and industries use less water.
the Kyoto Protocol has programs in place to help US consumers and industries use less water.

Answers

Answer:

The EPA (Environmental Protection Agency) has programs in place to help US consumers and industries use less water. While the Clean Water Act and Superfund legislation are focused on water quality and remediation, the EPA also has programs aimed at promoting water conservation and efficiency. These programs include initiatives to promote water-efficient products and technologies, as well as public education campaigns to raise awareness about the importance of water conservation. The Kyoto Protocol is an international agreement aimed at reducing greenhouse gas emissions and combating climate change, and does not specifically address water conservation in the US. Congress may also have programs aimed at promoting water conservation, but these would be separate from the Clean Water Act and Superfund legislation.

Explanation:

The EPA (Environmental Protection Agency) has programs in place to help US consumers and industries use less water.

What is EPA?

EPA stands for Environmental Protection Agency, which is a federal agency in the United States responsible for protecting human health and the environment by enforcing regulations passed by Congress.

The EPA (Environmental Protection Agency) is a US federal agency that is responsible for protecting human health and the environment.

One of its core responsibilities is enforcing federal environmental regulations such as the Clean Water Act.

Additionally, the EPA has various programs and initiatives to promote sustainable practices and reduce environmental impacts, including water conservation efforts.

Therefore, the correct option is "the EPA has programs in place to help US consumers and industries use less water."

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