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Chapter 5: Q 5.152. (page 242)
Discuss the pros and cons of binomial probability tables.
It avoids the calculations and it contains only a small number of combinations of n and p.
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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 .
World Series. The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919鈥�1921 World Series, when it was a best of nine). Thus it takes at least four games and no more than seven games to establish a winner. From the document World Series History on the Baseball Almanac website, as of November 2013, the lengths of the World Series are as given in the following table
| Number of Games | Frequency | Relative Frequency |
| 4 | 21 | 0.200 |
| 5 | 24 | 0.229 |
| 6 | 24 | 0.229 |
| 7 | 36 | 0.343 |
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.
c. Historically, what is the most likely number of games it takes to complete a series?
d. Historically, for a randomly chosen series, what is the probability that it ends in five games?
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?
What does it mean three events to be mutually exclusive.?
Sample Size for Proportion Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is within four percentage points of the true population percentage.
In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.
Housing Units. The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing units. The frequencies are in thousands.
A housing unit is selected at random. Find the probability that the housing unit obtained has
(a) four rooms.
(b) more than four rooms.
(c) one or two rooms.
(d) fewer than one room.
(e) one or more rooms.
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