Is the gender of a baby a random event? Factors such as drug use, occupation, and environment may have an impact on the sex of the baby a couple is likely to conceive. For example, it has been observed that fewer male babies were born to workers engaged in the production of 1,2-dibromo-3-chloropropane (DBCP), an agricultural pesticide. After the exposure ended, 36 children were born to 44 male workers. Of these 36 children only 10 were boys.

Assuming that the gender of a baby is a random event, meaning that 50% of the babies are boys:

a. What is the probability that there will be 10 or less boys?

b. What is the probability that there will be 10 or less boys if for DBCP-producing workers the chance of having a boy is only 25%?