# Question

The random variable X is the number of girls of four children born to a couple that is equally likely to have either a boy or a girl. Its probability distribution is as follows.

a. Find and interpret the mean of the random variable.

b. Obtain the standard deviation of the random variable by using one of the formulas given in Definition 5.10 on page 219.

c. Draw a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals.

a. Find and interpret the mean of the random variable.

b. Obtain the standard deviation of the random variable by using one of the formulas given in Definition 5.10 on page 219.

c. Draw a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals.

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