For each situation, identify the sample size n, the probability of success p, and the number of successes x. When asked for the probability, state the answer in the form b(n, p, x). There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied.
In 2012, Time magazine reported that 60% of recent college graduates were women.
a. If 10 recent college graduates are chosen at random, what is the probability that 5 of them are women?
b. If 10 recent college graduates are chosen at random, what is the probability that 6 of them are men?