A drug tester claims that a drug cures a rare skin disease 66% of the time. The claim is checked by testing the drug on 100 patients. If at least 64 patients are cured, the claim will be accepted. Find the probability that the claim will be rejected assuming that the manufacturer's claim is true. Use the normal distribution to approximate the binomial distribution if possible. The probability is (... (Round to four decimal places as needed.)

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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A drug tester claims that a drug cures a rare skin disease 66% of the time. The claim is checked by testing the drug
on 100 patients. If at least 64 patients are cured, the claim will be accepted.
Find the probability that the claim will be rejected assuming that the manufacturer's claim is true. Use the normal
distribution to approximate the binomial distribution if possible.
...
The probability is (Round to four decimal places as needed.)
Transcribed Image Text:A drug tester claims that a drug cures a rare skin disease 66% of the time. The claim is checked by testing the drug on 100 patients. If at least 64 patients are cured, the claim will be accepted. Find the probability that the claim will be rejected assuming that the manufacturer's claim is true. Use the normal distribution to approximate the binomial distribution if possible. ... The probability is (Round to four decimal places as needed.)
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