Use the binomial expansion to answer this question and show all calculations.

Assume that the probability of a human baby being male is and

the probability of a baby being female is . If 4 babies are born in

one hospital on the same day,

a)What is the probability that all 4 will be female?

b)What is the probability that 2 will be female and 2 will be male?

c)What is the probability that 1 will be female and 3 will be male?

d)What combination of females and males is most likely to occur?

e)What is the probability that a fifth baby would be a female?

Thank you!