# Binomial distribution: probabilities

6. The industry standards suggest that 10% of new vehicles require warranty service within the first year. A dealer sold 15 Nissans yesterday. Use equation (page 209) for part a) and Table II in back of book for part b) & c). Explain how you got values from table.

a) What is the probability that none of these vehicles requires warranty service?

b) What is the probability that exactly one of these vehicles requires warranty service?

c) Determine the probability that exactly 2 of these vehicles require warranty service.

d) Compute the mean and std. dev. of this probability distribution.

7. In a binomial distribution n = 8 and p = .3. Find the probabilities of the following events. Use equation (page 209) for part a) and Table II in the back of the text for all other computations. Explain how you arrived at each value from the table.

a) x = 2

b) x <= 2

c) x >= 3

#### Solution Preview

This solution shows all calculation details with explanations of how to use the binomial distribution to find probabilities of events. Please see the attached Word document for fully formatted explanation.

Probability and Binomial Distribution

6. The industry standards suggest that 10% of new vehicles require warranty service within the first year. A dealer sold 15 Nissans yesterday. Use equation (page 209) for part a) and Table II in back of book for part b) & c). Explain how you got values from table.

This problem is modeled by a binomial random variable X.

The parameters of X are:

15 and 0.10

You can describe X symbolically as:

15 0.10

The possible outcomes X are the integers from 0 to 15. If you want to find the probability of one of these outcomes, you ...

#### Solution Summary

This solution shows all calculation details with explanations of how to use the binomial distribution to find probabilities of events.