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Chapter 5: Q10 (page 195)

In Exercises 7鈥�14, determine whether a probability

distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.

In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and the accompanying table is based on the results.

x

P(x)

E-mail

0.06

In person

0.55

Instant message

0.24

Text message

0.15

Short Answer

Expert verified

The requirement that x is a numerical random variable is not satisfied.

Step by step solution

01

Given information

The probability distribution for the most fun way to flirt is provided.

02

Identify the requirements for a probability distribution

Letthe variable x represent the type of messaging.

The requirements are as follows.

1)The variablex is a numerical random variable,which is not satisfied as the variable cannot be expressed in the number form.

2)The sum of the probabilities is computed as

鈭�Px=0.06+0.55+0.24+0.15=1

Therefore, the sum of the probabilities is 1.

3) Each value of P(x) is between 0 and 1.

Thus, the requirement that x is a numerical random variable is not satisfied.

Therefore, the mean and standard deviation cannot be computed.

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