Question

"dy", etc. (a). The marginal density, fr (y), of Y. (Be explicit about all cases.) (b). P(X > 0.1 IY 0.5) (c), E(X | Y 0.5) 2x +2y ) dy 3y: if 0 y < 1, and 0 otherwise 0.1 r2x +2 (0.5) (3) 0.5 dx 64/75 2x +2(0.5) (3)0.52 dx- 5/18 2. Let Y be the lifetime, in minutes, of a lightbulb. Assume that the lightbulb has an expected lifetime of 2 hours and that Y is exponentially distributed. At 5:00pm, the lightbulb is installed and left on. At a random time during the lifetime of the bulb, Joe enters the room (a). What time do you expect Joe will enter the room? (b). Find the probability that Joe enters the room after 6:40pm (a). We can compute E(X) by conditioning on Y

Please answer #2 A and B for the Lightbulb problem

Answer 1

Meam 2 ms. 60 tyo = 100 minu led So , in minules 20 ?(* 7 100 100 -2100 e 120-10, 4341 -O