Question

3. Web access. The web accesses to the EECS website can be divided into two types: the internal web access from a computer within OSU network and the external web accesses from a computer outside OSU network. Assuming that the internal and external web accesses follow independent Poisson distributions with the rates of $\lambda_1$ and $\lambda_2$ hits per minute, respectively. Let X be the number of hits from either internal or external web accesses. (a) Show that X is also a Poisson random variable, and find the new $\lambda$ in terms of $\lambda_1$ and $\lambda_2$? (b) If $\lambda_1 = 10$ and $\lambda_2 = 20$, what is the probability that the EECS website has no hit during the next minute?

          3. Web access. The web accesses to the EECS website can be divided into two types: the internal web access from a computer within OSU network and the external web accesses from a computer outside OSU network. Assuming that the internal and external web accesses follow independent Poisson distributions with the rates of $\lambda_1$ and $\lambda_2$ hits per minute, respectively. Let X be the number of hits from either internal or external web accesses.
(a) Show that X is also a Poisson random variable, and find the new $\lambda$ in terms of $\lambda_1$ and $\lambda_2$?
(b) If $\lambda_1 = 10$ and $\lambda_2 = 20$, what is the probability that the EECS website has no hit during the next minute?

3. Web access. The web accesses to the EECS website can be divided into two types: the internal web access from a computer within OSU network and the external web accesses from a computer outside OSU network. Assuming that the internal and external web accesses follow independent Poisson distributions with the rates of λ1 and λ2 hits per minute, respectively. Let X be the number of hits from either internal or external web accesses.
(a) Show that X is also a Poisson random variable, and find the new λ in terms of λ1 and λ2?
(b) If λ1 = 10 and λ2 = 20, what is the probability that the EECS website has no hit during the next minute?

Added by Anthony G.

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