Equipment malfunctions on the shop floor at Kai-Tak’s main manufacturing facility occur at an average rate of one per hour (otherwise, the malfunctions appear to be random and independent). Use the Poisson distribution to determine the probability of
a. Exactly two malfunctions in the next hour.
b. No malfunctions in the next half-hour.
c. Fewer than three malfunctions in a flour-hour shift.
d. Between two and five malfunctions in the next hour and a half.