Let X1,... x30 be independent Poisson random variables having mean 1.
(a) Use Chebyshev's inequality to find a lower bound on the probability
P(25<= sigma from 1 to 30 of Xi <=35)
(b) Us the fact that sigma from 1 to 30 Xi is a Poisson random variable with mean 30 to find the exact value of the above probability. (R may be used).