Question

Construct a probability distribution table for the data.

Short answer

The following is the probability distribution table for random

variable $X$.

Step-by-step solution

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.

Concept Used

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

$P\left(X\right)$is stated to be the probability mass function of a discrete variable $X$only when, according to the assumptions of discrete distribution.

localid="1649567035087" $i.P(x)\ge 0forallX$

$ii.\sum _{}$$P\left(x\right)=1$

Calculation

Therefore the probability distribution tables of the random variable$X$

Step 4: Conclusion

So, the probability distribution tables of the random variable is$X$