Here, λ = 5
As per Poisson's distribution formula P(X = x) = λ^x *
e^(-λ)/x!
We need to calculate P(X > 2) = 1 - P(X <= 2).
P(X > 2) = 1 - (5^0 * e^-5/0!) + (5^1 * e^-5/1!) + (5^2 *
e^-5/2!)
P(X > 2) = 1 - (0.007 + 0.034 + 0.084)
P(X > 2) = 1 - 0.125 = 0.875
P(X < 4 and X > 2) = P(X = 3)
P(X = 3) = 5^3 * e^-5/3!
P(X = 3) = 0.140
P(X < 4 | X > 2) = P(X < 4 and X > 2)/P(X > 2)
= 0.14/0.875
= 0.160
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