When a new machine works properly, only 3% of the items produced are defective. Suppose you randomly select five parts produced on the new machine and find the number of defective parts. a) Find the probabilities of finding no defective part, b) Calculate the probabilities of finding exactly one defective part c) Find the probabilities of finding at least two defective parts. d) Find the expected value, variance, and 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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When a new machine works properly, only 3% of the items produced
are defective. Suppose you randomly select five parts produced on the
new machine and find the number of defective parts.
a) Find the probabilities of finding no defective part,
b) Calculate the probabilities of finding exactly one defective part
c) Find the probabilities of finding at least two defective parts.
d) Find the expected value, variance, and standard deviation.
Transcribed Image Text:When a new machine works properly, only 3% of the items produced are defective. Suppose you randomly select five parts produced on the new machine and find the number of defective parts. a) Find the probabilities of finding no defective part, b) Calculate the probabilities of finding exactly one defective part c) Find the probabilities of finding at least two defective parts. d) Find the expected value, variance, and standard deviation.
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