One of the most useful applications of the Poisson distribution is in analysing visitor numbers on websites.

Question:

One of the most useful applications of the Poisson distribution is in analysing visitor numbers on websites. Analysts generally believe visitor numbers (‘hits’) are Poisson distributed. Suppose a large e-commerce website averages 12600 visits per minute.

(a) What is the probability that there will be 13000 hits in any given minute?

(b) If a server can handle a maximum of 15000 hits per minute, what is the probability that it will be unable to handle the hits in any 1-minute period?

(d) What is the probability that 5000 or fewer hits will arrive in a 15-second interval?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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