Suppose thatXis a Poisson random variable with=30

.

Round your answers to 3 decimal places (e.g. 98.765).

(a) Compute the exact probability thatXis less than 20.

(b)Use normal approximation toapproximate the probability thatXis less than 20.

Without continuity correction:

With continuity correction:

(c)Use normal approximation toapproximate the probability that40

.

Without continuity correction:

With continuity correction: