In: Statistics and Probability
Suppose that X is a Poisson random variable with λ=39.
Round your answers to 3 decimal places (e.g. 98.765).
(a) Compute the exact probability that X is less than 26.
(b) Use normal approximation to approximate the probability that X is less than 26.
Without continuity correction:
With continuity correction:
(c) Use normal approximation to approximate the probability that 52<X<78.
Without continuity correction:
With continuity correction: