A lot of 50 circuit boards contains 5 defective ones. Suppose 10 of these circuit boards are selected for inspection. After they have been inspected, all of the non-defective selections are returned to the lot, and all of the defective selections are replaced with good ones. What is the expected value of the number of defective circuit boards that will remain in the lot after this inspection/replacement process has been performed once?

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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A lot of 50 circuit boards contains 5 defective ones. Suppose 10 of these circuit boards are selected for inspection. After they have been inspected, all of the non-defective selections are returned to the lot, and all of the defective selections are replaced with good ones.

What is the expected value of the number of defective circuit boards that will remain in the lot after this inspection/replacement process has been performed once?

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