Answer Happy

Let the value of the function G(y), for y > 0, be given by the formula:
G(y)
f'e
- 23) -Ida
- X3) -11 where X is a uniformly distributed random
Briefly explain why G(y) = y • El(ex?
variable on the interval [0, y.
Note: Here E denotes expectation value.
Use the results shown in Lecture 9 to argue informally that: ry=9 [ (2, 3)dyda ~ yap ² (²29) (¹²7²) ¹ (a + (¹4 + 1)(b − a), _ (u, + 1) (q − p) ) (1 − u²³)³¹ (1 − u²) ³, P+ i=0j=0 where, for each i, U=-COS 2n Note: a formal proof is not required here although a formal proof would be acceptable if you did this. Instead of a proof, it is sufficient to explain the intuition of where this formula comes from, using some algebra if this helps make the explanation clearer.