The 40% of Americans who travel by car look for gas stations and grocery stores that are nearby or visible from the road. Suppose a random sample of n = 30 American car travelers are asked how they determine where to stop for groceries and gas. Let x be the number of the sample that responds looking for gas stations and food stores that are nearby or visible from the road (Mendenhall et al., 2015). (Use the binomial formula to solve the exercise). Answer:

What is the mean if x=12? (2 points)

What is the variance of x? (2 points)

Calculate the interval 2 (2 points)

What values of the binomial random variable x fall in this interval? (2 points)