ch e"6, There is a probability of 0.08 that a vaccine will cause a certain side effect. Suppose that a number of patients are inoculated with the vaccine. We are interested in the number of patients vaccinated until the first side effect is observed. a) Find the probability that exactly 5 patients must be vaccinated in order to observe the first side effect. b) Find the probability that we observe a patient with side effects within the first 8 patients. c) What is the expected number of patients until the first patient has side effects?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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please write answer if possible in this format: “ biomPdf(2,3,4)” or geometricPdf(5,6,7) as an example
nomial
cach
A There is a probability of 0.08 that a vaccine will cause a certain side effect. Suppose that a numbe or
patients are inoculated with the vaccine. We are interested in the number of patients vaccinated until the first
side effect is observed.
a) Find the probability that exactly 5 patients must be vaccinated in order to observe the first side effect.
b) Find the probability that we observe a patient with side effects within the first 8 patients.
c) What is the expected number of patients until the first patient has side effects?
Transcribed Image Text:nomial cach A There is a probability of 0.08 that a vaccine will cause a certain side effect. Suppose that a numbe or patients are inoculated with the vaccine. We are interested in the number of patients vaccinated until the first side effect is observed. a) Find the probability that exactly 5 patients must be vaccinated in order to observe the first side effect. b) Find the probability that we observe a patient with side effects within the first 8 patients. c) What is the expected number of patients until the first patient has side effects?
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