Question

You have observed that the number of hits to your web site occur at a rate of 2 a day. Let X be be the number of hits in a day. What is the Prob[X≥1]?

Answer #1

Given number of hits to a website occur at a rate of 2 a day.

Let X be a number of hits in a day.

Therefore,

The probability mass function of X is:

for x= 0,1,...

The probability is obtained as:

Hence

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 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 1.9 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 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

The number of hits per day on the Web site of a tool company is
normally distributed with a mean of 660 and a standard deviation of
130.
a.
What proportion of days have more than 810 hits?
b.
What proportion of days have between 680 and 810 hits?
c.
Find the number of hits such that only 15% of the days will
have the number of hits below this number.

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
hits to the website. Compute the probability of each scenario
between 8 : 44 P.M.
and 8:46 P.M. Interpret each result.
(a) exactly six
(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
P.M. and 7:34 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
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
occur at the rate of 2.1 per minute 2.1 per minute between 7:00
P.M. and 11:00PM. Given below are three scenarios for the number
of hits to the website. Compute the probability of each scenario
between 10:44 P.M. and 10:50 P.M. Interpret each result.
(a) exactly six
(b) fewer than six
(c) at least six
(a) P(6)= _____
On about _____of every 100 time intervals between 10:44 P.M....

Comparison of two web page designs. You want to compare the
daily number of hits for two different webpage designs that
advertise our indie rock band. You assign the next 30 days to
either Design A or Design B, 15 days to each. a) Would you use a
one-sided or two-sided significance test for this problem? Explain
your choice. b) If you perform the significance test using alpha =
0.05, how large (positive or negative) must the t statistic be...

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