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Chapter 4: Q.11 (page 282)

Construct a probability distribution table for the data.

Short Answer

Expert verified

The following is the probability distribution table for random

variable X.

Step by step solution

01

Given Information

The probability distribution table of the random variable X, when Ellen has music practice three days a week with all of the three days 85%time, two days of 4%the time, one days of the time, and no days localid="1649567623387" 3%of the time and week is selected at random.

02

Concept Used

Xas the number of days Sam has music training in a week as a random variable to highlight the problem's features.

P(X)is stated to be the probability mass function of a discrete variable Xonly when, according to the assumptions of discrete distribution.

localid="1649567035087" i.P(x)鈮�0forallX

ii.鈭�P(x)=1

03

Calculation

Therefore the probability distribution tables of the random variableX

04

Step 4: Conclusion

So, the probability distribution tables of the random variable isX

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What does the column 鈥�P(x)鈥� sum to?

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