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?

MATLAB: An Introduction with Applications
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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.

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(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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