Let X have the p. m. f. f(x) = 10' x f(x)= x= 1, 2, 3, 4. Find a) E[X] and b) E[X(5-X)]-

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A: I have given the answer in the next step. Hope you understand that

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A: We have to find .

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A: To show: For any constant k, ddxf(x)k = f'(x)k

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A: We have to find out the Laplace transformation of f(x) = cos

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A: Given function is fx = x+334x-12 = x4 +12x-1+16x-12 +114. Also, given that f'x = x-9x+324x-13    and…

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A: Product rule:d(uv)dx=udvdx+vdudx

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