Question: You know that Z = 5X + 17. The expected value of X is 4 and its variance is 3. What are the mean and

You know that Z = 5X + 17. The expected value of X is 4 and its variance is 3. What are the mean and the variance of Z?

Group of answer choices

a) E(Z) = 37, Var(Z) = 60

b) E(Z) = 32, Var(Z) = 60

c) E(Z) = 32, Var(Z) = 75

d) E(Z) = 37, Var(Z) = 75

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Statistic Homework Page 240 Problem #23 In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for q random sample of 1014 adults aged 18 and over. One of the questions was,...

Q:

Suppose the following table shows the results obtained for 4,403 boating accidents, including the wind condition at the time of the accident. Wind Condition Percentage of Accidents None 9.8 Light...

Q:

A large national survey conducted in 1995 indicated that 18% of American adults had ever been tested for HIV at some point in their life. Suppose that in 2016 we take a simple random sample of 100...

Q:

Math 533. Question 1: A national standard requires that public bridge over 200 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating to 0 (highest...

Q:

What can we generate if we take the squares of standard deviation? * O Probability value O Mean value O Expected value O Variance If the variance of a probability distribution is 2.6 grams, what is...

Q:

What can we generate if we take the squares of standard deviation? * O Probability value O Mean value O Expected value O Variance If the variance of a probability distribution is 2.6 grams, what is...

Q:

1 A pension fund can invest its money into two types of bonds. Type A bonds have low average annual return, but also low return volatility, i.e. they are low risk bonds. Type B bonds have higher...

Q:

Multiple choice questions. I need answers and explanations! The next 10 questions refer to a variable x distributed as follows: x l 2 Wm Prob(x) . l .2 1. The value ofkis a) .3 b) .5 c) .3" d)...

Q:

How do I review the attached articles? I want to have it review them to able to compare with what I have done so far. American Economic Association Corporate Income Taxes and the Cost of Capital: A...

Q:

Answers and explanations needed 13. If 1 don't know anything about the value of Y. then the probability that X=3 is a) .1 b) .2 c) .4 d) .6 14. If 1 know that Y=5. then the expected value of X is a)...

Q:

Your client purchased 300 shares of Speedy Airlines common stock at $30.49 a share in July 2015. In June of 2016, the client writes 2 October 35 calls at 4 against the stock position. If the market...

Q:

(a) A 25-year-old college graduate opens an IRA account with $1200 at the end of the first year and continues to deposit $1200 into the account each year until turning age 65. never making any...

Q:

Exchange rate movements tend to affect many MNCs in the same way, limiting the ability of investors to mitigate exchange rate risk via diversification.

Q:

A B C E G 1 a) The following trial balance was extracted from the books of M Jackson on 30 April 20X7. 2 From it, the notelbelow it, prepare the Statement of Financial Comprehensive Income for the...