QUESTION 2 TOTAL MARKS: 20 (a) Consider the function f(x) = { te 4, 020; 0, otherwise. (i) What properties must have in
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QUESTION 2 TOTAL MARKS: 20 (a) Consider the function f(x) = { te 4, 020; 0, otherwise. (i) What properties must have in
QUESTION 2 TOTAL MARKS: 20 (a) Consider the function f(x) = { te 4, 020; 0, otherwise. (i) What properties must 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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