A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.39, and winning is independent from one bottle to the next. You buy six bottles. Let X be the number of prizes you win.
-What is the expected value of the number of prizes in six bottles?
A) 2
B) 2.34
C) 2.56
D) 3

Question

Quizplus · Accepted Answer

The expected value E(X) for a binomial distribution is calculated as n * p, where n is the number of trials (bottles) and p is the probability of success (winning a prize). Here, n = 6 and p = 0.39, so E(X) = 6 * 0.39 = 2.34.

A Soft Drink Company Holds a Contest in Which a Prize