Exercise #5

Use the binomial distribution table to find the binomial probabilities for these cases:

n = 11, p =.1, k = 3

n = 15, p =.6, k = 6

n = 23, p =.5, k = 15

Exercise #6

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

P(x = 15)

mean

variance

standard deviation

Exercise #7

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

P =

Exercise #8.

Forty percent of Americans who travel by car seek out gas stations and grocery stores that are close to 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 groceries and gas. Let x be the number in the sample who respond that they look for gas stations and grocery 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?

What is the variance of x?

Calculate the interval 2

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