new drug claims to be effective against flu 90% of the time. The drug is tested on 56 selected patients. a) Use the Binomial distribution to find the probability that exactly 52 patients recovered from the flu? (Round your answer to the nearest thousandth). b) What is the mean number of patients who recovered from the flu?  c) What is the variance of the number of patients who recovered from the flu?

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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  1. A new drug claims to be effective against flu 90% of the time. The drug is tested on 56 selected patients.
    a) Use the Binomial distribution to find the probability that exactly 52 patients recovered from the flu? (Round your answer to the nearest thousandth).
    b) What is the mean number of patients who recovered from the flu? 
    c) What is the variance of the number of patients who recovered from the flu?
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