) What is the probability of rejecting the lot? b) What is the probability of not finding defective microchips? c) Find the expected value of the probability distribution E(x) and the standard deviation.

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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A microchip manufacturer controls the quality of its products by inspecting a batch of 100 microchips, taking a sample of 20, if at least 3 of these are defective, the entire batch will be rejected. The lot contains 12 defective microchips.

a) What is the probability of rejecting the lot?
b) What is the probability of not finding defective microchips?
c) Find the expected value of the probability distribution E(x) and the standard deviation.

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