Question

The number of hits to a website follows a Poisson process. Hits occur at the rate of 1.8 per minute between 7:00 P.M. and 9:00 P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 7 : 43 P.M. and 7:48 P.M.

Interpret each result.

(a) exactly eight (

b) fewer than eight

(c) at least eight

(a) P(8) =______ (Round to four decimal places as needed.)

(b) P (fewer than 8) = _______(Round to four decimal places as needed.)

(c) P (at least 8) = _______(Round to four decimal places as needed.)

Answer #1

First we calculate hit rate between 7:43 .P.M and 7:48 P.M. ( 5 minutes )

Given hit rate = 1.8 per minute

In five minutes, hit rate = 1.8 x 5 = 9 hits

Using the above formula, we calculate the following probabilities;

a)

There is 13.18% chance that exactly 8 hits between 7:43 .P.M and 7:48 P.M.

b)

= 0.3239

There is 32.39% chance that less than 8 hits between 7:43 .P.M and 7:48 P.M.

c)

= 0.6761

There is 67.61% chance that at least 8 hits between 7:43 .P.M and 7:48 P.M.

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Hi, Please disregard the first question I asked the same like
this. This is the updated one.
Please answer the problem below.
Thank you,
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