# Question

We are given the following probability distribution.

a. Calculate the mean, variance, and standard deviation.

b. Suppose that Y = 3X + 2. For each value of X, determine the value of Y. What is the probability distribution of Y?

c. Calculate the mean, variance, and standard deviation from the probability distribution of Y.

d. Use the laws of expected value and variance to calculate the mean, variance, and standard deviation of Y from the mean, variance, and standard deviation of X. Compare your answers in parts (c) and (d). Are they the same (except forrounding)?

a. Calculate the mean, variance, and standard deviation.

b. Suppose that Y = 3X + 2. For each value of X, determine the value of Y. What is the probability distribution of Y?

c. Calculate the mean, variance, and standard deviation from the probability distribution of Y.

d. Use the laws of expected value and variance to calculate the mean, variance, and standard deviation of Y from the mean, variance, and standard deviation of X. Compare your answers in parts (c) and (d). Are they the same (except forrounding)?

## Answer to relevant Questions

Refer to Exercise 7.22. Determine the mean and variance of the number of games played.Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to ...a. Pfizer (PFE) (25%), Proctor & Gamble (PG) (25%), United Technologies (UTX) (25%), United Health (UNH) (25%)b. PFE (40%), PG (30%), UTX (20%), UNH (10%)c. PFE (15%), PG (55%), UTX (15%), UNH (15%)d. Which portfolio would a ...a. Amazon (AMZN) (25%), Apple (AAPL) (25%), Dell (DELL) (25%), Dollar Tree (DLTR) (25%)b. AMZN (10%), AAPL (20%), DELL (30%), DLTR (40%)c. AMZN (40%), AAPL (40%), DELL (10%), DLTR (10%)d. Which portfolio would a gambler ...A random variable is uniformly distributed between 5 and 25.a. Draw the density function.b. Find P(X > 25).c. Find P(10 < X < 15).d. Find P(5.0 < X < 5.1).Post your question

0