A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units. a. Construct the probability mass function for the number of defective units, X, in such a sample and show that it is a valid pmf. x = 0 x= 1 x= 2 elsewhere P(X=x) = (0, The function above is a valid pmf because, i. ii. b. Compute the mean and standard deviation of X.

A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units. a. Construct the probability mass function for the number of defective units, X, in such a sample and show that it is a valid pmf. x = 0 x= 1 x= 2 elsewhere P(X=x) = (0, The function above is a valid pmf because, i. ii. b. Compute the mean and standard deviation of X.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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