Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the base metal. A sample of 20 weld failures is examined. a) What is the probability that exactly five of them are base metal failures? b) What is the probability that fewer than four of them are base metal failures? c) What is the probability that none of them are base metal failures? d) Find the mean number of base metal failures. e) Find the standard deviation of the number of base metal failures.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the base metal. A sample of 20 weld failures is examined. a) What is the probability that exactly five of them are base metal failures? b) What is the probability that fewer than four of them are base metal failures? c) What is the probability that none of them are base metal failures? d) Find the mean number of base metal failures. e) Find the standard deviation of the number of base metal failures.

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