Question

The manager of a music store has kept records of the number of CDs bought in a single transaction by customers who make a purchase at the store. The accompanying table gives six possible outcomes and the estimated probability associated with each of these outcomes for the chance experiment that consists of observing the number of CDs purchased by a randomly selected customer at the store.

Number of CDs purchased | 1 | 2 | 3 | 4 | 5 | 6 or more |
---|---|---|---|---|---|---|

Estimated probability | 0.40 | 0.30 | 0.10 | 0.10 | 0.06 | 0.04 |

(a) What is the estimated probability that the next customer
purchases three or fewer CDs?

(b) What is the estimated probability that the next customer
purchases at most three CDs?

How does this compare to the probability computed in part (a)?

greater than part (a)less than part (a) the same as part (a)

(c) What is the estimated probability that the next customer
purchases five or more CDs?

(d) What is the estimated probability that the next customer
purchases one or two CDs?

(e) What is the estimated probability that the next customer
purchases more than two CDs?

Answer #1

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 table below. 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
0.54
2
0.24
3
4
0.06
5
0.04
Part (a)
Describe the random variable X in words.
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