7-28. Suppose X is a Poisson random variable with parameter = 45. Use (7.35) to find...

7-28. Suppose X is a Poisson random variable with parameter λ = 45. Use (7.35)

to find P(40 ≤ X ≤ 50). Recalculate this probability by employing the continuity correction P(a ≤ X ≤

b) → F5b+√0.5−λ

λ

; 0, 16 − F5a−√0.5−λ

λ

; 0, 16 .

Also use the continuity correction to find P(X =

a) → F5a+√0.5−λ

λ

; 0, 16 −

F5a−√0.5−λ

λ

; 0, 16 for a = 48.