A random variable X is pdf f(x) = , for 1<x< 2 x= == 2x 3 1
We want to calculate the cdf of X. i х ii F(0= = a ii < x < iii iv iii < x. Fill out (i), (ii), (iii), and (iv). i = ii = jji = iv = You will be asked to give an expression for (a) in the next problem.
Continued from the previous problem, give an expression for (a). Show your work.
Find the mean of X, E[X]. Show your work.
We want to find the mean of max(1.5, X) (i.e., E[ max(1.5, X) ]). To find the mean of max(1.5, X), we need to solve the following integral: só a x @dx+ flx @dx. So e . Give the values of a, b, c, d, e, and f. a = = , b = ,C= d = - e = f=
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