In a certain process, the probability of producing a defective component is 0.070. a) In a sample of 250 randomly chosen components, what is the probability that fewer than 20 of them are defective? (Round the final answer to four decimal places.)b) To what value must the probability of a defective component be reduced so that only 1% of lots of 250 components contain 20 or more that are defective? (Round the final answer to four decimal places.)

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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In a certain process, the probability of producing a defective component is 0.070.

a) In a sample of 250 randomly chosen components, what is the probability that fewer than 20 of them are defective? (Round the final answer to four decimal places.)
b) To what value must the probability of a defective component be reduced so that only 1% of lots of 250 components contain 20 or more that are defective? (Round the final answer to four decimal places.)

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