# Let the random variable X denote the number of girls in a five-child family. Ifthe probability of a female birth is 0.5,21.(A) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family.(B) Construct the binomial distribution and draw the histogram associated withthis experiment.al 2sr 3namhegxs end rd behogoua fon 2sw misb aynegmp siff.(e)A bnod 10 soie coubauensatong s baiato oicoso xie nad 15 Wa(C) Compute the mean and the standard deviation of the random variable X.

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Step 1

21.

A.

From the given information, the random variable X denotes the number of girls in a five-child family and the probability of female birth is 0.5.

Step 2

B)

The random variable X denotes the number of girls in a five-child family and follows Binomial distribution with parameters n =5 and p = 0.50.

The probability mass function for the random variable X is,

Step 3

Steps to construct Histogram in Excel:

• Select the data in excel
• Go to insert column or Bar chart
• click on clus...

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