It has been estimated that the probability of a male birth is 0.513. If a couple have five children, determine the probability of the following scenarios:
a. Calculate the probability that all 5 children will be boys.
b. Calculate the probability that all 5 children will be girls.
c. Calculate the probability that exactly 4 of the 5 children will be boys.
d. Calculate the probability that at least 3 of the 5 children will be boys.