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Posted: **Wed May 11, 2022 8:08 am**

: 5 Suppose That X Is A Continuous Random Variable With The Following Pdf With Unknown K 0 K 2 2x X2 If 0 X 3 1 (36.36 KiB) Viewed 20 times

: 5 Suppose That X Is A Continuous Random Variable With The Following Pdf With Unknown K 0 K 2 2x X2 If 0 X 3 2 (7.82 KiB) Viewed 20 times

: 5 Suppose That X Is A Continuous Random Variable With The Following Pdf With Unknown K 0 K 2 2x X2 If 0 X 3 3 (9.74 KiB) Viewed 20 times

5. Suppose that X is a continuous random variable with the following pdf with unknown k > 0: k(2 – 2x + x2) if 0 < x <3 f(x) = 0 otherwise (a) (4 points) Find the value of k so that f(x) is a pdf.

(b) (5 points) Use the pdf to find E(X).

(c) (6 points) Use the pdf and the previous part to find V(X).