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Chapter 5, Problem 11

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QUESTION:

Identifying Probability Distributions. In Exercises 714, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Fun Ways to Flirt A sociologist randomly selects single adults for different groups of four, and the random variable x is the number in the groupwho say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey).x P(x)0 0.0411 0.2002 0.3673 0.2994 0.092

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QUESTION:

Identifying Probability Distributions. In Exercises 714, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Fun Ways to Flirt A sociologist randomly selects single adults for different groups of four, and the random variable x is the number in the groupwho say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey).x P(x)0 0.0411 0.2002 0.3673 0.2994 0.092

ANSWER:

Problem 11

Identifying Probability Distributions. In Exercises 7-14, determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

Fun Ways to Flirt. A sociologist randomly selects single adults for different groups of four, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey).

                                                              Step by Step Solution

Step 1 of 2

Mean for a probability distribution is,

Mean,

Construct a table as shown below:

x

P(x)

x.P(x)

0

0.041

0 x 0.041 = 0

1

0.2

1 x 0.2 = 0.2

2

0.367

2 x 0.367 = 0.734

3

0.299

3 x 0.299 = 0.897

4

0.092

4 x 0.092 = 0.368

Calculate the mean using the table, ie;

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