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A taxi alternates between three different locations. Whenever it reaches location i, it stops and spends a random time having mean ti before obtaining another passenger, i = 1, 2, 3. A passenger entering the cab at location i will want to go to location j with probability Pij . The time to travel from i to j is a random variable with mean mij . Suppose that t1 = 1, t2 = 2, t3 = 4, P12 = 1, P23 = 1, P31 = 2 = 1 - P32, m12 = 10, m23 = 20, m31 = 15, m32 = 25. De?ne an appropriate semi-Markov process and determine
(a) the proportion of time the taxi is waiting at location i, and
(b) the proportion of time the taxi is on the road from i to j, i, j = 1, 2, 3.
Make a forecast for 2005, using a trend model of your choice or a judgment forecast. Discuss. Note: Time increments are 5 years, so use t = 6 for your 2005 forecast.
A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
Identify the data type and measurement scale of each variable - Create a simple frequency table to show the distribution of employees' departments. Comment on the distribution.
we are interested in relationship satisfaction of young adults before and after they go off to collegeuniversity which
An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects ten schools from the district and interviews all of the teachers at the selected schools.
an automobile manufacturer would like to know what proportion of its customers are dissatisfied with the service
Develop an estimated regression equation that can be used to predict the starting salary and bonus paid to graduates given the cost of out-of-state tuition and fees at the school.
a survey found that womens heights are normally distributed with a mean 63.9 in and a standard deviation 2.4 in. a
Leading product are falling leading to declining revenues. Draft a research proposal for the client based on a scientific methodology.
What is the probability that a randomly selected time interval between eruptions is longer than 108 minutes?
The time required to do the job is normally distributed and has a mean time of 28 minutes with a standard deviation of 5 minutes. How much time should the employer allow employees to finish the job?
A brand name has 60% recognition rate. if the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers, find the probability that exactly 3 of the 5 consumers recognize the brand name. Also fin..
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