Fifteen people have been exposed to a particular disease. each one independently has a 40% chance of contracting the disease. a hospital has the capacity to handle at most 8 cases of the disease. what is the probability that the hospital’s capacity will be exceeded? a. 146
b. 905
c. 787
d. 854
e. 0950

e. .0950

Step-by-step explanation:

Let X be the number of people that can be cure from disease.

Since each people independently has a 40% chance of contracting the disease.

So ,

A hospital has the capacity to handle at most 8 cases of the disease.

Binomial distribution formula :

Then , the probability that the hospital’s capacity will be exceeded

Hence, the probability that the hospital’s capacity will be exceeded is e. .0950.

Thus , the correct option is e. .0950.