Let X~ Geo(0.4) and Y~ Geo(0.6), where X and Y are independent. a. Write down an expression

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Let X~ Geo(0.4) and Y~ Geo(0.6), where X and Y are independent.

a. Write down an expression for Gx+y(t).

b. Express 5/(5 – 2t)(5 – 3t) in partial fractions.

c. Hence, find P(X + Y = k) for k = 2, 3, 4.

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