Let X Random Variable Outcome Space B C P 0 1 P B 0 2 P C 0 7 Let F X 8 10 X 5 X B 10 7 X Q43895381
Let X be a random variable with outcome space ⌦ = {a,b,c} andp(a)=0 .1,p(b)=0 .2, and p(c)=0 .7. Let f(x)=8 < : 10 if x = a 5if x = b 10/7 if x = c (a) [5 marks] What is E[f(X)]?
(b) [5 marks] What is E[1/p(X)]?
(c) [5 marks] For an arbitrary pmf p, what is E[1/p(X)]?
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