People visiting video rental stores often rent more than one DVD at a time. The

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

0.03

1

0.50

2

0.24

3

4

0.70

5

0.04

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.

X

P(x)

0

0.03

1

0.50

2

0.24

3

4

0.70

5

0.04

Explanation / Answer

a)

The random variable X is the number of dvd's rented by a random customer. It ranges from 0 to 5.

b)

{{The questions eems to be incorect, the P(x=4) should be 0.07 rather than 0.7. Assuming it to be 0.07 for futher calculation}}

As the sum of all the P(x) x ransing from 0 to 5 shold be 1 (all the possibilies are covered) .

Hence 0.03 + 0.5 + 0.24 + P(x=3)+ 0.07 + 0.04 = 1

P(x=3) = 0.12

c)

Atlest four dvd'd

= P(x=4) + P(x=5)

=0.07+0.04

= 0.11

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