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Chapter 4: Q. 87 (page 292)

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 Table 4.37.There is five-video limit per customer at this store, so nobody ever rents more than five DVDs.

a. Describe the random variable Xin 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.

Short Answer

Expert verified

a.

b.

c.

d

Step by step solution

01

Step 1: 

a

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Most popular questions from this chapter

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20-year period. Assume each year is independent.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many audits are expected in a 20-year period?

e. Find the probability that a person is not audited at all.

f. Find the probability that a person is audited more than twice

You are playing a game of chance in which four cards are drawn from a standard deck of 52 cards. You guess the suit of each card before it is drawn. The cards are replaced in the deck on each draw. You pay \(1 to play. If you guess the right suit every time, you get your money back and \)256. What is your expected profit of playing the game over the long term?

Complete Table 4.20 using the data provided.

Use the following information to answer the next six exercises: On average, a clothing store gets 120customers per day.

What values does Xtake on?

Define the random variable X.
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