Answer
a. μ=λ=1.6
P(x=3 ) =$\frac{1.6^{3}e^{-1.6}}{3!}$ = 0.1378
b.i.$P(2\leq x \leq 3)$ =$\frac{1.6^{2}e^{-1.6}}{2!}$+$\frac{1.6^{3}e^{-1.6}}{3!}$ =0.3963
ii. $P(x\geq3)$ =1-$P(0\leq x \leq 3)$ = 0.9213
iii.$P(x\leq3)$ =$\frac{1.6^{0}e^{1.6}}{0!}$+$\frac{1.6^{1}e^{-1.6}}{1!}$+$\frac{1.6^{2}e^{-1.6}}{2!}$=0.7834
Work Step by Step
see above