Answer
a. μ=λ=19
P P(x=12) =$\frac{19^{12}e^{-19}}{12!}$=0.02589
b.i.$P(13\leq x \leq 16)$ = $\frac{19^{13}e^{19}}{13!}$ + $\frac{19^{14}e^{19}}{14!}$ + $\frac{19^{15}e^{19}}{15!}$ + $\frac{19^{16}e^{19}}{16!}$ = 0.2315
ii. $P(x\leq6)$ =1-$P(0\leq x \leq 7)$ = 0.0015
Work Step by Step
see above