8. Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 30% of these tanks leak. You randomly choose 30 tanks at random. (a) Does the binomial setting apply? Explain. (b) What is the mean number of leaking tanks in such samples of 30 tanks? What is the standard deviation? (c) What is the probability that exactly 25 of these tanks leak? (d) What is the probability that at most 15 tanks leak in samples of 30 tanks?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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8. Leakage from underground gasoline tanks at service stations can damage the environment. It is
estimated that 30% of these tanks leak. You randomly choose 30 tanks at random.
(a) Does the binomial setting apply? Explain.
(b) What is the mean number of leaking tanks in such samples of 30 tanks? What is the standard
deviation?
(c) What is the probability that exactly 25 of these tanks leak?
(d) What is the probability that at most 15 tanks leak in samples of 30 tanks?
Transcribed Image Text:8. Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 30% of these tanks leak. You randomly choose 30 tanks at random. (a) Does the binomial setting apply? Explain. (b) What is the mean number of leaking tanks in such samples of 30 tanks? What is the standard deviation? (c) What is the probability that exactly 25 of these tanks leak? (d) What is the probability that at most 15 tanks leak in samples of 30 tanks?
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