A Poll showed that 25 of Americans are satisfied with the wa

A Poll showed that 25% of Americans are satisfied with the way things are going in the

United States. Suppose a sample of 15 Americans is selected as part of a study of the state of the

nation.

a) Compute the probability that exactly 5 of the 15 Americans surveyed are satisfied with the way

things are going in the United States.

b) Compute the probability that at least 3 of the Americans surveyed are satisfied with the way things

are going in the United States.

c) Compute the probability that no more than 4 of the Americans surveyed are satisfied with the way

things are going in the United States.

d) Compute the probability that more than 2 but less than 6 of the Americans surveyed are satisfied

with the way things are going in the United States.

e) Compute the expected value, variance, and standard deviation of the number