QUESTION 2 [TOTAL MARKS: 20) (a) Consider the function f(x) = { je-i, x>0; = 0, otherwise. (i) What properties must f ha

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QUESTION 2 [TOTAL MARKS: 20) (a) Consider the function f(x) = { je-i, x>0; = 0, otherwise. (i) What properties must f ha

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Question 2 Total Marks 20 A Consider The Function F X Je I X 0 0 Otherwise I What Properties Must F Ha 1
Question 2 Total Marks 20 A Consider The Function F X Je I X 0 0 Otherwise I What Properties Must F Ha 1 (52.39 KiB) Viewed 24 times
QUESTION 2 [TOTAL MARKS: 20) (a) Consider the function f(x) = { je-i, x>0; = 0, otherwise. (i) What properties must f have in order to be a valid probability density function? [2 marks] (ii) Calculate the expected value (mean and variance. [3 marks) (iii) Find P(X > 4). [3 marks]
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