Question

On her​ birthday, a girl receives a giant box of​ crème filled chocolates from a secret admirer. She only likes the ones with fruit flavored fillings and​ won't eat the others. The box says that​ 25% of the chocolates have fruit fillings. Out of a box of​ 20, how many could she expect to have fruit​ fillings?

A.

0.25

B.

5

C.

20

D.

15

Answer 1

Solution:

Given: The box says that​ 25% of the chocolates have fruit fillings.

thus p = probability of chocolates have fruit fillings = 0.25

n = Number of boxes selected = 20

We have to find expected number of boxes that have fruit​ fillings.

Since x = Number of  boxes that have fruit​ fillings follows Binomial distribution, then expected value for Binomial distribution is given by:

Thus correct answer is: B. 5