Question

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.
x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03

Describe the random variable X in words.

a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store

Answer 1

Answer:

a. X is the number of DVDs a customer rents.

Step-by-step explanation:

The distribution states that:

0.05 = 5% probability a customer rents no DVDs

0.49 = 49% probability a customer rents 1 DVD

...

0.03 = 3% probability a customer rents 5 DVDs.

Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.