For a discrete probability distribution, you are given the recursion relation

p

k

=

2

k

p

k

1

,

k

=

1

,

2

,

...

pk=2kpk1,k=1,2,...

wherep

k

=

Pr

(

X

=

k

)

pk=Pr(X=k)

.

DetermineE

[

X

1

]

E[X1]

.