LetX

Xbe a discrete random variable with the following PMF

P

X

(k)=

1

21

0

fork{10,9,,1,0,1,,9,10}

otherwise

PX(k)={121fork{10,9,,1,0,1,,9,10}0otherwise

The random variableY=g(X)

Y=g(X)is defined as

Y=g(X)=

0

X

5

ifX0

if0

otherwi