Mathematics, 16.07.2020 01:01 mason5579
The number of hits to a website follows a Poisson process. Hits occur at the rate of 0.4 per minute between 7:00 P. M. and 10:00 P. M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 8 : 27 P. M. and 8:31 P. M. Interpret each result. (a) exactly seven (b) fewer than seven (c) at least seven
Answers: 3
![P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\\P(X < 7) = e^{- 1.6} [ \frac{1.6^0}{0!} + \frac{1.6^1}{1!} + \frac{1.6^2}{2!} + \frac{1.6^3}{3!} + \frac{1.6^4}{4!} + \frac{1.6^5}{5!} + \frac{1.6^6}{6!} ]](/tpl/images/0707/5122/35c7a.png)
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The number of hits to a website follows a Poisson process. Hits occur at the rate of 0.4 per minute...
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