own that 65% of those tested do not get sick from the coronavirus. Unfortunately, the vaccine has side effects and i

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 new vaccine against the coronavirus has been developed. The vaccine was tested on
10,000 volunteers and the study has shown that 65% of those tested do not get sick from the
coronavirus. Unfortunately, the vaccine has side effects and in the study it was shown that
the probability of getting side effects among those who did not get sick is 0.31, while the
probability of getting side effects among those who got sick from corona despite vaccination
is 0.15.

(b) What is the probability that a randomly vaccinated person does not become ill with the
coronavirus and does not get side effects?


(c) What is the probability that a randomly vaccinated person gets side effects?


(d) What is the probability that a randomly vaccinated person who has not experienced side
effects does not become ill with the coronavirus? 

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