Chapter 4: Q.78 (page 291)
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 in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
a. Describe the random variable
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.
Another shop, Entertainment Headquarters, rents DVDs and video games. The probability distribution for DVD rentals per customer at this shop is given as follows. They also have a five-DVD limit per customer.
e. At which store is the expected number of DVDs rented per customer higher?
f. If Video to Go estimates that they will have
g. If Video to Go expects
h. Which of the two video stores experiences more variation in the number of DVD rentals per customer? How do you know that?
Short Answer
(a) X is the quantity of DVDs on rent per customer.
(b)
(c)
(d)
(e) At the Entertainment Headquarters, the expected number of DVDs rented per customer is higher
(f)
(g)
(h) The entertainment headquarters has more variation