Answer
a. λ=100*0.2 = 20
P P(x=25) =$\frac{20^{25}e^{-20}}{25!}$=0.04459
b.
i. $P(x\leq8)$ = 0.0021
ii. $P(15\leq x \leq 20)$ = $P(x\leq20)$- $P(x\leq14)$ = 0.5591-0.1049=0.4542
iii.$P(x\geq30)$ = 1-$P(x\leq29)$ = 0.0218
Work Step by Step
See above