University and college students are relatively confident about finding a job after graduation. According to a Gallup survey 50% of students are say now is a good time to find a quality job. Suppose you randomly select 10 students and ask about their future job prospects.

a. What is the probability that 6 of them believe that now is a good time to find a quality job?

b. Calculate the probability that at least 8 believe that now is a good time to find a quality job?

c. Calculate the probability that 4 or fewer believe that now is a good time to find a quality job?