5.33 Fast Food and Gas Stations Forty percent of all Canadians who travel by car look for gas sta- tions and food outlets that are close to or visible from the highway. Suppose a random sample of n = 25 Canadians who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway.

a. What are the mean and variance of x?

b. Calculate the interval 20. What values of the binomial random variable x fall into this interval?

c. Find P(6x14). How does this compare with the fraction in the interval 20 for any distribu- tion? For mound-shaped distributions?