The random variable K is geometric with a parameter which is itself a uniform random variable Q on [0,1]. Find the value fQ|K(0.5|1) of the conditional PDF of Q, given that K=1. Hint: Use the result in the last segment.

Answer 1

0.4578

Answer 2

3/47

Answer 3

1/4

Answer 4

we use the result of the last question which is

2Y in our case we use Q = 0.5 so

fq/k(0.5|1) = 1