Question
In: Statistics and Probability
Assume that the number of new visitors to a website in one hour is distributed as...
Assume that the number of new visitors to a website in one hour is distributed as a Poisson random variable. The mean number of new visitors to the website is
2.3 per hour. Complete parts (a) through (d) below.
a. What is the probability that in any given hour zero new visitors will arrive at the website?
The probability that zero new visitors will arrive is__
b. What is the probability that in any given hour exactly one new visitor will arrive at the website?
The probability that exactly one new visitor will arrive is__
c. What is the probability that in any given hour two or more new visitors will arrive at the website?
The probability that two or more new visitors will arrive is__
d. What is the probability that in any given hour fewer than three new visitors will arrive at the website?
The probability that fewer than three new visitors will arrive is__
Solutions
orchestra answered 1 year agoRelated Solutions
Assume that the number of new visitors to a website in one hour is distributed as...
Assume that the number of new visitors to a website in one hour
is distributed as a Poisson variable with λ = 4.0. What is the
probability in any given hour that two or more new visitors will
arrive at the website?
Round to four decimals and use leading zeros if necessary.
A website is trying to increase registration for first-time visitors, exposing 1% of these visitors to...
A website is trying to increase registration for first-time
visitors, exposing 1% of these visitors to a new site design. Of
752 randomly sampled visitors over a month who saw the new design,
64 registered.
(a) Check any conditions required for constructing a confidence
interval.
(b) Compute the standard error.
(c) Construct and interpret a 90% confidence interval for the
fraction of first-time visitors of the site who would register
under the new design (assuming stable behaviors by new visitors...
Assuming that the sample is representative of the population of all visitors to the website, is...
Assuming that the sample is representative of the population of
all visitors to the website, is there evidence in the data at the
0.10 level of significance to conclude that the proportion of
customers who use Chrome as their browser is less than 34%? Use
hypothesis testing to answer your question. Put your hypotheses in
the Answer. Put your p-value, rounded to at least 4 decimal places.
In the Answer, state whether you reject or don’t reject the null
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A news website believes that equal to 52% of its visitors click on advertisements while on...
A news website believes that equal to 52% of its visitors click
on advertisements while on the site. A sample of size 39 visitors
is taken and it is observed that 16 of them clicked on ads. Perform
a hypothesis test to test the null hypothesis that equal to 52% of
website visitors click ads against the alternative hypothesis,
H1, that something other than 52% click on ads,
with level of significance α = 0.1.
a)
What type of test...
1.Suppose that the number of customers who enter a supermarket each hour is normally distributed with...
1.Suppose that the number of customers who enter a supermarket
each hour is normally distributed with a mean of 670 and a standard
deviation of 180. The supermarket is open 17 hours per day. What is
the probability that the total number of customers who enter the
supermarket in one day is greater than 10100? (Hint: Calculate the
average hourly number of customers necessary to exceed 10100 in one
17-hour day.)
2.Assume that women's weights are normally distributed with a...
A website for a small motel chain averages seven visitors every ten minutes. Solve the probability...
A website for a small motel chain averages seven visitors every
ten minutes. Solve the probability questions for
Scenario 5 by hand. (Round all probabilities to 4 decimals)
What is the mean number of visitors in a 3-minute period?
What is the probability of no visitors in a 3-minute period?
What is the probability of exactly one visitor in a 3-minute
period?
What is the probability of exactly two visitors in a 3-minute
period?
What is the probability of three...
Let us assume that there are two visitors, A and B, in an amusement park. The...
Let us assume that there are two visitors, A and B, in an
amusement park. The demand curve for the visitors facing the
amusement park are as follows.
PA= 5 – 2QA
PB= 2.5 – 0.5QB
Marginal cost (MC) to serve each
visitor is equal to $1.
a. If the amusement park decides to set the price using two-part
tariff, given the demand curve
P=6 – 2.5Q and MC =$1, how much is the equilibrium P and Q
b. Calculate...
The number of visitors to the historic Museum for 25 randomly selected hours is shown.
The number of visitors to the historic Museum for 25 randomly
selected hours is shown.15 53 48 19
38 86 63 98
79 38 26 39
67 89 62 28
35 54 88 7631 47 53 41 68.Exercise 3You may use your calculator or excel to compute:The sample mean, sample variance and sample standard
deviationWhat is the Coefficient of variation?What are the range of values that are within two standard
deviation of the mean?How many data values are within this...
Assume the average number of years that nurses have worked at their job is normally distributed...
Assume the average number of years that nurses have worked at
their job is normally distributed with a mean of 21 years and a
population standard deviation of 12 years. Suppose we take a sample
of 15 nurses.
What is the probability that a randomly selected nurse will
have worked for more than 30 years?
What is the probability that a randomly selected nurse will
have worked for under 5 years?
What is the probability that a randomly selected nurse...
The number of buses that arrive at a bus stop during a one-hour time span can...
The number of buses that arrive at a bus stop during a one-hour
time span can be modeled as a Poisson process with rate λ (see
Remark below). Now suppose a passenger has just arrived at the bus
stop and starts waiting. Let Y be the time (in unit of hours) she
needs to wait to see the first bus.
(a) Is Y a discrete or continuous random variable? Find the set
of all possible values of Y .
(b)...
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