Let X be the number of diodes on a circuit board that fail during a circuit board proof test. Suppose

a circuit board contains 175 diodes, all independent of each other.

(a) If the probability that any particular diode will fail is 0.01, use the Poisson approximation to find

the probability that at most 1 diode will fail on a randomly selected board.

(b) Suppose now the probability that a diode will fail is 0.05. Use the normal approxim