Binomial Distribution · Exercise 14

People visiting a hot dog stand often purchase more than one hot dog. The probability distribution for purchases of number of hot dogs per customer at a hot dog stand is given.

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

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

OpenStax, Introductory Statistics 2e · §4.3 Binomial Distribution · Exercise 14