1. [PDF, Mean (or Expected Value), and Standard Deviation] 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. P(X) 0.03 1 0.5 2 0.24 3 4 0.07 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. (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. P(X) 0.35 1 0.25 2 0.2 3 0.1 4 0.05 5 0.05 (e) At which store is the expected number of DVDS rented per customer higher?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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answers to part 1 (a to e)

1. [PDF, Mean (or Expected Value), and Standard Deviation] 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.
P(X)
0.03
1
0.5
2
0.24
3
4
0.07
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.
(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.
P(X)
0.35
1
0.25
2
0.2
3
0.1
4
0.05
5
0.05
(e) At which store is the expected number of DVDS rented per customer higher?
Transcribed Image Text:1. [PDF, Mean (or Expected Value), and Standard Deviation] 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. P(X) 0.03 1 0.5 2 0.24 3 4 0.07 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. (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. P(X) 0.35 1 0.25 2 0.2 3 0.1 4 0.05 5 0.05 (e) At which store is the expected number of DVDS rented per customer higher?
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