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Posted: **Thu Apr 28, 2022 7:48 am**

: Question 2 Total Marks 20 A Consider The Function F X Te 4 020 0 Otherwise I What Properties Must Have In 1 (15.58 KiB) Viewed 36 times

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)