Question

Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.2​, 0.3​, and 0.5​, respectively. What is the expected number of books a customer will​ purchase?

Answer 1

Expectation number of books a customer will​ purchase = 1.3

Explanation:

x :​ 0 1 2

p(x) :0.2​, 0.3​, and 0.5​

Expectation

E(X) = ∑x P(x)

= 0 X 0.2 +1 X 0.3+ 2 X 0.5

= 1.3

Expectation E(X) = 1.3

Expectation number of books a customer will​ purchase = 1.3