please solve all the questions. I need solution as soon as possible

3. You change jobs again to a startup company (noFlicker) for streaming video over the Internet. For the application work as intended, it is important that the packet delays are not varying too much. For a test scenario, the packets travel over it = 40 routers. Each router introduces a queuing delay that is modeled as an exponential random variable Xi. We amtune that the delays are independent and identically distributed and that E[X,;] = 3 ms. The eudto-end delay is W = 221:1 Xi, and the deviation of W from its expected value, [W - E[W]| is called the jitter. For the application to work as intended, the jitter should be less than worm: = 30 ms. (a) What distribution will W have? (213) [b] Express the probability for the jitter to exceed \"mm\" in terms of the GDP for W. {2p} (c) Find an {nontrivial} upper bound on the probability for the that jitter exceed mm\". (413) (d) Find a (nontrivial) approximation to the probability for the that jitter exceed mm\". {41)} (e) Suppose we replace 20 of the routers will faster ones. The queuing delays for the new routers are modeled as exponential random variables with expected value 1 ms. Assuming that all delays are independent, repeat Parts (:2) and (d). (21:)