3) A manufacturer of integrated circuits knows from experience that 5% of the components he produces are defective. The quality control procedure is to reject an assembly-line run if three or more components out of a random sample of ten components are defective. a) What is the probability of reiecting an assembly -line run? (Hint: Use binomial distribution formulas, It is easier

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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3) A manufacturer of integrated circuits knows from experience that 5% of the components he produces are
defective. The quality control procedure is to reject an assembly-line run if three or more components out of a
random sample of ten components are defective.
a) What is the probability of rejecting an assembly -line run? (Hint: Use binomial distribution formulas. It is easier
to find the probability of the complement and subtract from 1)
b) If X = The number of defective components in a sample size of 10, what are E(X) and o?(X) ?
Transcribed Image Text:3) A manufacturer of integrated circuits knows from experience that 5% of the components he produces are defective. The quality control procedure is to reject an assembly-line run if three or more components out of a random sample of ten components are defective. a) What is the probability of rejecting an assembly -line run? (Hint: Use binomial distribution formulas. It is easier to find the probability of the complement and subtract from 1) b) If X = The number of defective components in a sample size of 10, what are E(X) and o?(X) ?
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