7-43. Suppose a random variableXis gamma distributed with parameters = 2, = 10. Find: (a)...

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7-43. Suppose a random variableXis gamma distributed with parameters α = 2,

θ = 10. Find:

(a) X’s probability density function

(b) E(X) and V(X)

(c) X’s cumulative distribution function

(d) P(15 < X < 25) using (7.49.2)

Recalculate the probability in

(d) by using the Poisson approximation provided by (7.55).

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