Binomial Distribution (Optional) · Exercise 14

People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video to Go is given. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.

$$\begin{array}{cc}\text{x}& \text{P(x)}\\ \text{0}& \text{.03}\\ \text{1}& \text{.50}\\ \text{2}& \text{.24}\\ \text{3}& \\ \text{4}& \text{.07}\\ \text{5}& \text{.04}\end{array}$$

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

OpenStax, Statistics · §4.3 Binomial Distribution (Optional) · Exercise 14