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Chapter 5: Q 13. (page 247)

Fill in the blanks.

(a) A is a quantitative variable whose value depends on chance.

(b) A discrete random variable is a random variable whose possible values .

Short Answer

Expert verified

Part (a) A random variableis a quantitative variable whose value depends on chance.

Part (b) A discrete random variable is a random variable whose possible values can be listed.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

Fill in the blanks.

(a) A is a quantitative variable whose value depends on chance.

(b) A discrete random variable is a random variable whose possible values .

02

Part (a) Step 2. Fill in the given blank.

The probability is a numerical value that is based on the likelihood of an event occurring.

If this is the case, the variable must be a random variable with a quantitative value.

Arandom variableis a quantitative variable whose value depends on chance.

03

Part (b) Step 1. Fill in the given blank.

The probable values of a discrete random variable can be listed.

A discrete random variable is a random variable whose possible values can be listed.

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a. If X denotes the number of games that it takes to complete a World Series, identify the possible values of the random variable X.

b. Do the first and third columns of the table provide a probability distribution for X? Explain your answer.

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e. Historically, for a randomly chosen series, what is the probability that it ends in five or more games?

f. The data in the table exhibit a statistical oddity. If the two teams in a series are evenly matched and one team is ahead three games to two, either team has the same chance of winning game number six. Thus there should be about an equal number of six-and seven-game series. If the teams are not evenly matched, the series should tend to be shorter, ending in six or fewer games, not seven games. Can you explain why the series tend to last longer than expected?

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c. Find P(X = 4); interpret in terms of percentages.

d. Obtain the probability distribution of X.

e. Construct a probability histogram for X.
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