32. Diarrhea Vaccine. Acute rotavirus diarrhea is the leading cause of death among children under age 5, killing an estimated 4.5 million annually in developing countries. Scientists from Finland and Bel- gium claim that a new oral vaccine is 80% effective against rotavirus diarrhea. Assuming that the claim is correct, use the normal approxi- mation to the binomial distribution to find the probability that, out of 1500 cases, the vaccine will be effective in b. at least 1175 cases. a. exactly 1225 cases. c. between 1150 and 1250 cases, inclusive.

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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*32. Diarrhea Vaccine. Acute rotavirus diarrhea is the leading cause
of death among children under age 5, killing an estimated 4.5 million
annually in developing countries. Scientists from Finland and Bel-
gium claim that a new oral vaccine is 80% effective against rotavirus
diarrhea. Assuming that the claim is correct, use the normal approxi-
mation to the binomial distribution to find the probability that, out of
1500 cases, the vaccine will be effective in
b. at least 1175 cases.
a. exactly 1225 cases.
c. between 1150 and 1250 cases, inclusive.
Transcribed Image Text:*32. Diarrhea Vaccine. Acute rotavirus diarrhea is the leading cause of death among children under age 5, killing an estimated 4.5 million annually in developing countries. Scientists from Finland and Bel- gium claim that a new oral vaccine is 80% effective against rotavirus diarrhea. Assuming that the claim is correct, use the normal approxi- mation to the binomial distribution to find the probability that, out of 1500 cases, the vaccine will be effective in b. at least 1175 cases. a. exactly 1225 cases. c. between 1150 and 1250 cases, inclusive.
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