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 0.54 2 0.23 3 4 0.07 5 0.03 a.Describe the random variable X in words. b.Find the probability that a customer rents three DVDs. (Enter your answer to two decimal places.) c.Find the probability that a customer rents at least four DVDs. (Enter your answer to two decimal places.) d. Find the probability that a customer rents at most two DVDs. (Enter your answer to two decimal places.) e.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. x P(x) 0 0.35 1 0.25 2 0.20 3 0.10 4 0.05 5 0.05 At which store is the expected number of DVDs rented per customer higher? i. Entertainment Headquarters ii. Video to Go f. Video to Go estimates that they will have 300 customers next week, how many DVDs do they expect to rent next week? Answer in sentence form. The expected number of videos rented to 300 Video to Go customers is (Enter a number) { Entertainment Headquarters /Video to Go} will rent more videos.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
People visiting video rental stores often rent more than one DVD at a time. The
| x | P(x) |
|---|---|
| 0 | 0.05 |
| 1 | 0.54 |
| 2 | 0.23 |
| 3 | |
| 4 | 0.07 |
| 5 | 0.03 |
a.Describe the random variable X in words.
b.Find the probability that a customer rents three DVDs. (Enter your answer to two decimal places.)
c.Find the probability that a customer rents at least four DVDs. (Enter your answer to two decimal places.)
d. Find the probability that a customer rents at most two DVDs. (Enter your answer to two decimal places.)
e.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.
| x | P(x) |
|---|---|
| 0 | 0.35 |
| 1 | 0.25 |
| 2 | 0.20 |
| 3 | 0.10 |
| 4 | 0.05 |
| 5 | 0.05 |
At which store is the expected number of DVDs rented per customer higher?
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