6. A university considers giving only pass/fail grades to freshman to reduce competition and stress. The student newspaper interviews faculty members and reports their opinions of the proposed policy. Suppose that 70% of the faculty favor the pass/fail proposal. (a) (5 points) If 5 faculty members are interviewed, find the exact probability that a ma- jority (3 or more) will favor the policy. (b) (10 points) If 50 faculty members are interviewed, find the probability that a majority (26 or more) will favor the proposal. Check if the normal approximation will give accurate results. If so, use it with a continuity correction