Question: Exercise # 6 Consider a binomial experiment with n = 22 and p = 0.70. Use the binomial formula to calculate: a) P (x =

Exercise # 6

Consider a binomial experiment with n = 22 and p = 0.70. Use the binomial formula to calculate:

a) P (x = 15)

b) mean

c) variance

d) standard deviation

Exercise # 7

25% of NUC University students use their own car to get to college. What is the probability that in a sample of 20 students, five (5) students will use their own car? (Use the binomial formula to solve the exercise).

Exercise # 8

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 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number of the sample that responds that it looks for gas stations and food stores that are close to or visible from the road (Mendenhall et al., 2015). (Use the binomial formula to solve the exercise). Answer:

a) What is the mean if x = 12?

b) What is the variance of x?

c) Calculate the interval 2

d) What values of the binomial random variable x fall in this interval?

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