b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes. I. How many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail. II. What is the probability that at least four diodes will fail on a randomly selected board. III. If six boards are shipped to a particular customer, what is the probability that at least four of them will work properly.

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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b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.
Suppose a circuit board contains 200 diodes.
I. How many diodes would you expect to fail, and what is the standard deviation of the number
that are expected to fail.
II. What is the probability that at least four diodes will fail on a randomly selected board.
III. If six boards are shipped to a particular customer, what is the probability that at least four of
them will work properly.
Transcribed Image Text:b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes. I. How many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail. II. What is the probability that at least four diodes will fail on a randomly selected board. III. If six boards are shipped to a particular customer, what is the probability that at least four of them will work properly.
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