Question
In: Statistics and Probability
2.) Suppose that the number of requests for assistance received by a towing service is a...
2.) Suppose that the number of requests for assistance received by a towing service is a Poisson process with rate a = 6 per hour.
a.) Find the expected value and variance of the number of requests in 30 minutes. Then compute the probability that there is at most one request in 30 minute interval.
b.) What is the probability that more than 20 minutes elapse between two successive requests? Clearly state the random variable of interest using the context of the problem and what probability distribution it follows.
3.) Certain ammeters are produced under the specification that its gauge readings are normally distributed with main 1 amp and variance 0.04 amp^2, respectively.
a.) What is the probability that a gauge reading from the test is more than 1.15 amp?
b.) Find the value of a gauge reading of an ammeter such that 20% of ammeters would have higher readings than that. In other words, find the 80-th percentile of gauge readings.
4. ) Suppose that a quality control engineer believes that the manufacturing process is flawed and wishes to estimate the true mean gauge reading. The engineer samples 130 of these ammeters and measures their gauge readings. From these, the engineer obtains the mean and standard deviation of 1.1 amp and 0.18 amp, respectively. Calculate and interpret a 98% confidence interval for the true mean gauge reading.
Solutions
orchestra answered 1 year agoRelated Solutions
Suppose that the number of requests for assistance received by a towing service is a Poisson...
Suppose that the number of requests for assistance received by a
towing service is a Poisson process with rate α = 6 per hour.
a) Find expected value and variance of the number of requests in
30-minutes. Then compute the probability that there is at most one
request in 30-minute interval. Clearly state the random variable of
interest using the context of the problem and what probability
distribution it follows.
b) What is the probability that more than 20 minutes...
2a). The customer service department of H&R Block received a total of 235 telephone requests for...
2a). The customer service department
of H&R Block received a total of 235 telephone requests for a
tip-sheet on personal tax or corporate tax. The following table
summarizes callers' primary area of interest, and how they first
heard about the tip-sheet.
Topic of most interest to caller
How the caller first heard about the report
Radio
Newspaper
Television
Internet
Personal tax
34
20
26
20
Corporate tax
36
70
14
15
What is the probability a caller is
interested in...
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability...
The reference desk of a university library receives requests for
assistance. Assume that a Poisson probability distribution with an
arrival rate of 11 requests per hour can be used to describe the
arrival pattern and that service times follow an exponential
probability distribution with a service rate of 15 requests per
hour. (Round your answers to four decimal places.)
(a)
What is the probability that no requests for assistance are in
the system?
(b)
What is the average number of...
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability...
The reference desk of a university library receives requests for
assistance. Assume that a Poisson probability distribution with an
arrival rate of 8 requests per hour can be used to describe the
arrival pattern and that service times follow an exponential
probability distribution with a service rate of 11 requests per
hour.
What is the probability that no requests for assistance are in
the system? If required, round your answer to four decimal
places.
P0 = ??
What is the...
The reference desk of a university library receives requests for assistance. Assume that a Poisson probability...
The reference desk of a university library receives requests for
assistance. Assume that a Poisson probability distribution with an
arrival rate of 9 requests per hour can be used to describe the
arrival pattern and that service times follow an exponential
probability distribution with a service rate of 11 requests per
hour.
What is the probability that no requests for assistance are in
the system? If required, round your answer to four decimal
places.
P0 =
What is the average...
The following transactions relate to Academy Towing Service. Assume the transactions for the purchase of the...
The following transactions relate to Academy Towing Service.
Assume the transactions for the purchase of the wrecker and any
capital improvements occur on January 1 of each year. 2016 1.
Acquired $79,000 cash from the issue of common stock. 2. Purchased
a used wrecker for $41,000. It has an estimated useful life of
three years and a $10,000 salvage value. 3. Paid sales tax on the
wrecker of $5,000. 4. Collected $65,100 in towing fees. 5. Paid
$12,900 for gasoline...
The following transactions relate to Academy Towing Service. Assume the transactions for the purchase of the...
The following transactions relate to Academy Towing Service.
Assume the transactions for the purchase of the wrecker and any
capital improvements occur on January 1 of each year. 2016 1.
Acquired $79,000 cash from the issue of common stock. 2. Purchased
a used wrecker for $41,000. It has an estimated useful life of
three years and a $10,000 salvage value. 3. Paid sales tax on the
wrecker of $5,000. 4. Collected $65,100 in towing fees. 5. Paid
$12,900 for gasoline...
Burton Co. requests assistance allocating costs and determining the profitability of its two departments: Skis and...
Burton Co. requests assistance allocating costs and determining
the profitability of its two departments: Skis and Snowboards.
Shared indirect expenses include rent and supervision. Use the
Tableau Dashboard, with information from Burton’s December 31
year-end reports, for our analysis.
1. Allocate each of the indirect expenses (rent
and supervision) to the two departments: Skis and Snowboards.
2. Prepare departmental income statements for Skis
and Snowboards.
Berful Industries requests your assistance in preparing its accounting records for its annual audit, following US...
Berful Industries requests your assistance in preparing its
accounting records for its annual audit, following US GAAP. What
advice would you give them with respect to the following list of
accounting questions? Check or fill in the line:
Berful owns a mine with an estimated 200,000,000 tons of ore.
The cost of the ore is estimated to be $2.00 per ton, while the
cost of the land without the ore is calculated as $1,000,000. If
6,000,000 tons are mined and...
Berful Industries requests your assistance in preparing its accounting records for its annual audit, following US...
Berful Industries requests your assistance in preparing its
accounting records for its annual audit, following US GAAP. What
advice would you give them with respect to the following list of
accounting questions?
On the last day of the year, Berful borrowed $50,000 from a
bank, agreeing to pay the $50,000 principle amount of the loan and
$3,000 in interest on the last day of the next year—one year later.
Is the principle amount of the loan a liability on the...
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