question  (a) Draw an event tree and show on the event tree all the probabilities in branch points. (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 had side effects does not get sick from the coronavirus?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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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.

question 

(a) Draw an event tree and show on the event tree all the probabilities in branch points.
(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 had side effects does not get sick from the coronavirus?

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