Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5: a) Find the probabilities of 0, 1, 2, 3, 4, and 5 girls in a five-child...

Let the random variable X denote the number
of girls in a five-child family. If the probability
of a female birth is 0.5:

a) Find the probabilities of 0, 1, 2, 3, 4, and 5
girls in a five-child family.
b) Construct the binomial distribution and
draw the histogram associated with this
experiment.
c) Compute the mean and the standard
deviation of the random variable X.