Question

The probability of getting flu after receiving the flu shot is 15%. Suppose that 8 people receive flu shots in our department.

a. What is the probability that exactly 5 of them gets flu? (2.5 points)

b. What is the probability that at least one person gets flu? (2.5 points)

Answer 1

PLEASE RATE THE ANSWER
Answer

Probability of getting a flue is 0.15 ( EVENT A)
Probability of not getting a fluw fter shot is (1-0.15 ) = 0.85 (EVENT B)

a.  What is the probability that exactly 5 of them gets flu?
= probability of 5 getting a flue * probability of 3 not getting the flue
= A⁵ B³
= 0.15⁵ * 0.85³

b. What is the probability that at least one person gets flu?  
= 1 - ( probability that no one gets the flu)
= 1 - B⁸
= 1- 0.85⁸
= 1-.272490
= 0.7275
= 72.75 %