Answer
$P(7\leq~x\leq9)=0.381$
Work Step by Step
$P(7\leq~x\leq9)=P(7)+P(8)+P(9)=\frac{7^{7}}{7!}e^{-7}+\frac{7^{8}}{8!}e^{-7}+\frac{7^{9}}{9!}e^{-7}=\frac{823543}{5040}e^{-7}+\frac{5764801}{40320}e^{-7}+\frac{40353607}{362880}e^{-7}=0.381$
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