For the following sets M and functions f , do the following in (a)(d). Graph f, and

For the following sets M and functions f , do the following in (a)–(d).

Transcribed Image Text:

Graph f, and mark [a, b] along the horizontal axis. Determine whether f(x) is a continuous probability distribution. If it is, let X ~f and do the following. i. Find x. ii. Find Var(X). iii. Find ox iv. Find Tx. v. Find P(X = M). (a) M = [0.5, 1.5] and function f(x) = {{ (b) M= [0, 5] and function f(x) = (c) M = {0, 5} and function f(x) = 2x x = [0,1] 0 otherwise. cos(x) x = [-] 0 otherwise. sin(x) x[-] 0 (d) M [0, 0.5] and function f(x) = 0 otherwise. 3x2 x = [0,1] otherwise.