(Solved): 17. A continuous random variable X has a probability density function given by f(x)={a+bx+cx2,0 ...

Expert Answer

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To determine the moment generating function (MGF) of the random variable X, we can use the formula:

M(t) = E(e^(tX))

where E denotes the expectation operator. Let's calculate the MGF step by step.

(a) Moment Generating Function (MGF):
First, we need to f...