Independent poisson random variables

Reference no: EM13101468

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).

Reference no: EM13101468

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