a) We need to use a Poisson distribution with "\\lambda=2"
"P(k\\leq 2 )=2^0\\frac{e^{-2}}{0!}+2^1\\frac{e^{-2}}{1!}+2^2\\frac{e^{-2}}{2!}"
"P(k\\leq 2 )=e^{-2}(1+2+2)=5e^{-2}=0.6767"
b) We need to use a Poisson distribution with "\\lambda'=2\\frac{100}{20}=2(5)=10"
"P(k\\geq 3 )=1-P(k\\leq 2 )"
"P(k\\leq 2 )=10^0\\frac{e^{-10}}{0!}+10^1\\frac{e^{-10}}{1!}+10^2\\frac{e^{-10}}{2!}"
"P(k\\leq 2 )=e^{-10}(1+10+50)=61e^{-10}=0.0028"
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