Q. I Consider the following rejection algorithm 1 . Generate ?

Suppose that Y is generated using this method and U3 is another Unif(0,1) random variable. Define the random variable Z as

Z=Y if U3 > 0.5

Z=-Y if U3 <=0.5

Show that Z is a standard normal random variable.

Q. I Consider the following rejection algorithm1 . Generate ? independent Unif ( 0 , 1 ) random variables U , and U/} .2. Let * = _ In V' , and Y = _ In U 2.3. IF 2 X &gt; ( 7 - 1) 2 return Y.