5. Professor Stern has three cars. The probability that on a given day car 1 is operative is 0.95, that car 2 is operative is 0.97, and that car 3 is operative is 0.85. If Professor Stern’s cars operate independently, find the probability that on next Thanksgiving day

(a) all three of his cars are operative;

(b) at least one of his cars is operative;

(c) at most two of his cars are operative;

(d) none of his cars is operative.