A quality control engineer has determined from past data that a machine makes bad parts 20% of the time. He took a sample of n = 5 parts and tested to determine if the part was defective or not. a) If we let X=Number of defective parts, create a binomial probability model in table form. X 0 P(x) 0.3277 1 2 4 5 3 0.0512 0.4096 0.2048 0.0064 0.0003 b) What is the probability that the number of defective parts is 4? c) What is the probability of less than 2 defective parts? d) How many parts would the engineer expect to be defective?

A quality control engineer has determined from past data that a machine makes bad parts 20% of the time. He took a sample of n = 5 parts and tested to determine if the part was defective or not. a) If we let X=Number of defective parts, create a binomial probability model in table form. X 0 P(x) 0.3277 1 2 4 5 3 0.0512 0.4096 0.2048 0.0064 0.0003 b) What is the probability that the number of defective parts is 4? c) What is the probability of less than 2 defective parts? d) How many parts would the engineer expect to be defective?

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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