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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Stanley Cup The Stanley Cup is a best-of-seven series to

Chapter 6, Problem 3RE

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QUESTION:

Problem 3RE

Stanley Cup The Stanley Cup is a best-of-seven series to determine the champion of the National Hockey League. The following data represent the number of games played, X, in the Stanley Cup before a champion was determined from 1939 to 2011.

Note: There was no champion in 2005. The season was cancelled due to a labor dispute.

x

Frequency

4

20

5

17

6

19

7

16

(a) Construct a probability model for the random variable X, the number of games in the Stanley Cup.

(b) Draw a probability histogram.

(c) Compute and interpret the mean of the random variable X.

(d) Compute the standard deviation of the random variable X

Questions & Answers

QUESTION:

Problem 3RE

Stanley Cup The Stanley Cup is a best-of-seven series to determine the champion of the National Hockey League. The following data represent the number of games played, X, in the Stanley Cup before a champion was determined from 1939 to 2011.

Note: There was no champion in 2005. The season was cancelled due to a labor dispute.

x

Frequency

4

20

5

17

6

19

7

16

(a) Construct a probability model for the random variable X, the number of games in the Stanley Cup.

(b) Draw a probability histogram.

(c) Compute and interpret the mean of the random variable X.

(d) Compute the standard deviation of the random variable X

ANSWER:

Solution:

Step 1 of 3:

The data about the number of games played, X, in Stanley Cup is given.

                           

X

Frequency

4

20

5

17

6

19

7

16

Total

72

                         

  1. We have to construct a probability model for the random variable X.
  2. We have to draw a probability histogram.
  3. We have to compute and interpret the mean of the random variable X.
  4. We have to compute and interpret the standard deviation of the random variable X.

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