Question

The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 1.2 per minute between 7pm and 12 pm. Given below are three scenarios for the number of hits to the Website. Compute the probabilityof each scenario between 8:21pm and 8:24pm.

a. exactly six

b. fewer than six

c. at least six

Answer #1

Let X = Number of hits between 8:21pm and 8:24pm.

The rate of hits between 8:21pm and 8:24pm. is 1.2*3 = 3.6

Therefore X follows Poisson distribution with parameter = 3.6

a) P ( exactly six hits between 8:21pm and 8:24pm) = P( X = 3)

Using excel:

P( X = 6) = "=POISSON(6,3.6,0)" = **0.082608**

b) P ( Fewer than six hits between 8:21pm and 8:24pm) = P( X < 6) = P( X <= 5)

P( X <= 5) = "=POISSON(5,3.6,1)" =
**0.844119**

P( At least six hits between 8:21pm and 8:24pm ) = P(X >= 6) 0.155881

P(X >= 6) = 1- P( X < 6) = 1 - 0.844119 =
**0.155881**

The number of hits to a Web site follows a Poisson process. Hits
occur at the rate of 1.9 per minute1.9 per minute between 7:00
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of hits to the Web site. Compute the probability of each scenario
between .7:41 P.M. and 7:45 P.M.
(a) exactly six.
(b) fewer than six
(c) at least six.

The number of hits to a Web site follows a Poisson process. Hits
occur at the rate of 0.8 per minute between 7:00 P.M. and 11:00
P.M. Given below are three scenarios for the number of hits to the
Web site. Compute the probability of each scenario between 8 : 39
P.M. and 8:48 P.M. and interpret the results.
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(b) fewer than seven hits
(c) at least seven hits

The number of hits to a website follows a Poisson process. Hits
occur at the rate of 2.9 per minute between 7:00 P.M. and
11:00 P.M. Given below are three scenarios for the number of
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between 8 : 44 P.M.
and 8:46 P.M. Interpret each result.
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(b) fewer than six
(c) at least six

The number of hits to a website follows a Poisson process. Hits
occur at the rate of 1.0 per minute between 7:00 P.M. and 12:00
P.M. Given below are three scenarios for the number of hits to the
website. Compute the probability of each scenario between 7 : 29
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(a) exactly eight
(b) fewer than eight
(c) at least eight
(a) P(8)=___ (Round to four decimal places as needed.)

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.)...

The number of hits to a website follows a Poisson process. Hits
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(b) fewer than six
(c) at least six
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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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1....

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