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Chapter 4: Q.10 (page 282)

Define the random variable X.

Short Answer

Expert verified

Xbe the number of days in a week that Ellen has music training.

Step by step solution

01

Given Information

Ellen has music practice three days a week, all three days are chosen at random85 percent of the time, two days are chosen at random 8 percent of the time, one day is chosen at random 4 percent of the time, and no days are chosen at random 3percent of the time.

02

Concept Used

A random variable depicts the problem's features, and we'll call X the number of days Ellen has music training in a week.

According to discrete distribution properties,

The probability mass function of a discrete variableX is known asP(X).

i. P(X)鈮�0for all X

ii.鈭�P(X)=1

03

Explanation & conclusion

As a result, letXrepresent the number of days Ellen performs music in a week.

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