Question

Suppose that a random variable X has the following pdf: 8px+2(1-P) 0<x<0.5., JxX;P) = *; where 0 Sp Si 0 otherwise where p is simply a constant that has yet to be specified in other words, p is a parameter). For now, we will leave the parameter p an unspecified constant ► Find P(X>0.3) = Note: your answer will be an expression containing p. Suppose that k> 0 is also a constant (not yet specified). Find the expected value of the random quantity Xk. Exk] = Note: your answer will be an expression containing both k and p. Suppose the random variable Y has pdf: 1.5+2y 0<y <0.5 gy(y) = 10 otherwise This is the same pdf as above with the parameter p now being specified (there is also the cosmetic change of the argument of the pdf now being y instead of x). What is the specified value of the parameter p for this pdf? p =

Answer 1

Solution:

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