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A) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0e...

a) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0elsewhere Hint: Use Integrati

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a) Derive the moment generating function (m.g.f) of the triangular distri- bution Y with p.d.f 0elsewhere Hint: Use Integration by parts. (b) Determine the moments Y by expressing it as a Taylor series, i.e. identify the corresponding coefficients Note: Since EY-0, the kth moment is the kth central moment (c) Determine the m.gf. of U-μ + bY. [Note: μ 0 is an unspecified constant here, it is not the mean of Y which is zero.]
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ㄚ k l 오kと (a +a) 6 43 1o ナ-)。L 2i 困 2O ㄚ 오k 2. e Jon 2 k CJP 오.k ) A.

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