Question

The nonnegative function given below is a probability density function. e-2t/3 if t 20 0 if t < 0 (a) Find P(Osts 3). (b) Find E(t).

Answer 1

-2/3 Sirent Peobability di function Pow = 436 To find: plos 453) 4 EU) if tco Solution ja) PCOsd33) We have PO3453) る pero ante di come *7 14 hours ago = (3)4H) [ 8-2014 Ecu [es eo] - 17 1-2-2 1 és :: Posk53) 61 21 ~0.8647 22 o 6 E(4): we have -2/31 de ECA) こ & fato de Be नयर d le t Lusing integration by parts

3 e ا ب امه هم-3 ܙ ܙ 3 و )2 g 2. - e est 2. - ۵) - e( ۱۱ 0-2 و e اتو + f 81 - 1 - 23 ها 2 7 - 2ہ S 2م کم E() لا (o<A 5) سا اره and