Question

The number of views of a page on a Web site follows a Poisson distribution with a mean of 1.5 per minute.

d.Determinethelengthofatimeintervalsuchthattheprobability of no views in an interval of this length is 0.001.

Answer #1

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
P.M. and 9:00 P.M. Given below are three scenarios for the number
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.
(a) exactly seven hits
(b) fewer than seven hits
(c) at least seven hits

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

You have observed that the number of hits to your web site
follows a Poisson distribution at a rate of 3 per hour. Let X is
the time between hits and it follows Exponential distribution.
1. What is an average time in minutes between two hits?
2. What is the probability, that you will need to wait less than
40 minutes between two hits?
3. What is the probability, that there will be 2 hits in the
next hour?
1....

The number of automobiles entering a tunnel per 2-minute period
follows a Poisson distribution. The mean number of automobiles
entering a tunnel per 2-minute period is four. (A) Find the
probability that the number of automobiles entering the tunnel
during a 2- minute period exceeds one. (B) Assume that the tunnel
is observed during four 2-minute intervals, thus giving 4
independent observations, X1, X2, X3, X4, on a Poisson random
variable. Find the probability that the number of automobiles
entering...

The number of customers that enter a bank follows a Poisson
distribution with an average of 30 customers per hour. What is the
probability that exactly 3 customers would arrive during a 12
minute period?
Select one:
a. 0.4211
b. 0.1008
c. 0.2586
d. 0.1404
e. 0.0892

The number of emails that I get in weekday can be
modeled by a Poisson distribution with an average of 0.2 emails per
minute.
1. What is the probability that I get no emails in an
interval of length 5 minutes?
2. What is the probability that I get more than 3 emails
in an interval of length 10 minutes?

The number of incoming calls at a telephone exchange is modeled
using a Poisson distribution with mean lambda= 2 per minute a What
is the probability of having five or less calls in a 3 min interval
b Show that given that there were in calls during the first t
minutes the number of calls during the first S<t minutes follows
a binomial with parameters n and s/t

The number of hurricanes (Y) in a season follows a Poisson
distribution with a mean of 3. The damage (X) done by a hurricane
during a given season follows an exponential distribution with mean
2Y.
What is the variance of the yearly damage?

Suppose that the number of Wi-fi interruptions in your home
network follows the Poisson distribution with an average of 1.5 per
day.
a. Calculate the probability that will have exactly 2
interruptions tomorrow.
b. Calculate the probability that you will have at least 2
interruptions tomorrow.

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