A shipment of 100 machine parts is received at the port in New York City. It is known in advance that 30 of the machine parts are defective. A sample of 50 parts is withdrawn from the shipment. a.) What random variable computes the probability that x of the parts in the sample of 50 parts are defective? b.) Write down the probability mass function for your answer in a.) c.) What is the probability that 15 of the parts in the sample are defective? d.) What is the expected value of defective parts in this sample? e.) What is the variance in this experiment?

A shipment of 100 machine parts is received at the port in New York City. It is known in advance that 30 of the machine parts are defective. A sample of 50 parts is withdrawn from the shipment. a.) What random variable computes the probability that x of the parts in the sample of 50 parts are defective? b.) Write down the probability mass function for your answer in a.) c.) What is the probability that 15 of the parts in the sample are defective? d.) What is the expected value of defective parts in this sample? e.) What is the variance in this experiment?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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