(Solved):   ill upvite you if you can answer correctly The continuous random variable X has probabilit ...

 

ill upvite you if you can answer correctly

The continuous random variable X has probability density function (PDF) of (k(x² - 2x + 2) fx(x) = - {*(x² -32 3k 0 < x? 3, 3 < x? 4, otherwise. 0 a) Determine the value of k so that the PDF is valid. b) Determine the cumulative distribution function Fx (x). c) Determine the mean of random variable X. (1 mark) (2 mark) (2 mark)