Four in ten Canadians who travel by car look for gas and food outlets that are close to or visible from the highway. Suppose a random sample of n = 20 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 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 What values of the binomial random variable x fall into this interval?
c. Find How does this compare with the fraction in the interval for any distribution? For mound-shaped distributions?

Question

Four in ten Canadians who travel by car look for gas and food outlets that are close to or visible from the highway. Suppose a random sample of n = 20 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 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  What values of the binomial random variable x fall into this interval? 
c. Find  How does this compare with the fraction in the interval  for any distribution? For mound-shaped distributions?

Quizplus · Accepted Answer

The Answer of Four in ten Canadians who travel by car look for gas and food outlets that are close to or visible from the highway. Suppose a random sample of n = 20 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 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  What values of the binomial random variable x fall into this interval? 
c. Find  How does this compare with the fraction in the interval  for any distribution? For mound-shaped distributions?

Four in Ten Canadians Who Travel by Car Look for Gas