Answer to Question #97674 in Statistics and Probability for Juliet Beglaryan

Question

A drug company claims their new flu vaccine cures 92% of patients. What is the probability that in a family of five people who take the vaccine:
a) none of them get the flu?
b) at least one gets the flu?

Answer 1

This is a binomial distribution.

P(none get flu) = C(5, 0) * 0.92^5 * 0.08^0, where C(n, k) is binomial coefficient,

then

(P at least one get flu) = 1 - P(none get flue),

then

P(none get flu) = 0.65,

P(at least one get flu) = 0.35.

Answer:

a) 0.65,

b) 0.35.