For each situation, identify the sample size n, the probability of a success p, and the number of success 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. A 2017 Gallup poll found that 53% of college students were very confident that their major will lead to a good job.

a. If 20 college students are chosen at random, what’s the probability that 12 of them were very confident their major would lead to a good job?

b. If 20 college students are chosen at random, what’s the probability that 10 of them are not confident that their major would lead to a good job?