i)
Here, λ = 4 and x = 2
As per Poisson's distribution formula P(X = x) = λ^x *
e^(-λ)/x!
We need to calculate P(X <= 2).
P(X <= 2) = (4^0 * e^-4/0!) + (4^1 * e^-4/1!) + (4^2 *
e^-4/2!)
P(X <= 2) = 0.0183 + 0.0733 + 0.1465
P(X <= 2) = 0.2381
ii)
Here, λ = 2 and x = 2
As per Poisson's distribution formula P(X = x) = λ^x *
e^(-λ)/x!
We need to calculate P(X = 2)
P(X = 2) = 2^2 * e^-2/2!
P(X = 2) = 0.2707
Ans: 0.2707
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