Answer
a)0.00005
b)0.0005
c)0.0027
d)0.0087
e)0.021
Work Step by Step
The mean of the deaths:$\frac{196}{20}=9..8$
By using the formula:
a)$P(X=0)=\frac{9.8^0\cdot e^{-9.8}}{0!}=0.00005.$
b)$P(X=1)=\frac{9.8^1\cdot e^{-9.8}}{1!}=0.0005.$
c)$P(X=2)=\frac{9.8^2\cdot e^{-9.8}}{2!}=0.0027.$
d)$P(X=3)=\frac{9.8^3\cdot e^{-9.8}}{3!}=0.0087.$
e)$P(X=4)=\frac{9.8^4\cdot e^{-9.8}}{4!}=0.021.$