Binomial Distribution · Exercise 14

People visiting video game rental stores often rent more than one game at a time. The probability distribution for game rentals per customer at Game Stop is given. There is five-game limit per customer at this store, so nobody ever rents more than five video games.

$$\begin{array}{cc}\text{x}& \text{P(x)}\\ \text{0}& \text{0.03}\\ \text{1}& \text{0.50}\\ \text{2}& \text{0.24}\\ \text{3}& \\ \text{4}& \text{0.07}\\ \text{5}& \text{0.04}\end{array}$$

(a) Describe the random variable X in words.
(b) Find the probability that a customer purchases three games.
(c) Find the probability that a customer purchases at least four games.
(d) Find the probability that a customer purchases at most two games.

OpenStax, Introductory Business Statistics 2e · §4.2 Binomial Distribution · Exercise 14