Answer
$P(4\leq~x\leq6)=0.00574$
Work Step by Step
$P(4\leq~x\leq6)=P(4)+P(5)+P(6)=\frac{(0.07\times10)^4}{4!}e^{-0.07\times10}+\frac{(0.07\times10)^5}{5!}e^{-0.07\times10}+\frac{(0.07\times10)^6}{6!}e^{-0.07\times10}=\frac{0.2401}{24}e^{-0.7}+\frac{0.16807}{120}e^{-0.7}+\frac{0.117649}{720}e^{-0.7}=0.00574$
