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Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution. This shop only has one garage and one oil change person on duty at any given time.
a) On average what would the length of the line be?
b) On average how long would each car spend at the oil change outlet?
c) On average how long would each driver have to wait before receiving service
d) If the owner wants to lease some new equipment for the oil change outlet so that the average customer spends 15 minutes in the system what level or speed of service rate must the oil change crew deliver?
e) If the owner values his custermers time in the system at $30 per hour and the oil change garage is open 12 hours a day what is most that he shuld be willing to pay (as a daily lease coat) to achieve the 15 minute time in system goal listed above?
From this group of 2000 accounts what is the probability that an account has a balance of $500 or more, given that it is 3 or more years old?
What symbol is used to represent the mean of the sampling distribution of y-(ybar)? Explain and what symbol is used to represent one value from the sampling distribution of y-(ybar)? Explain
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Design a Huffman source coding scheme that can achieve lossless transmission with lessthan 90 bit/second.
an elevator starts from the 1st floor with 8 passengers and may stop at the 2nd or 3rd floor or both. suppose that each
If he rolls 25 games with the new ball, averaging 204 pins with a standard deviation of 24.9, can one conclude at a level of significance of .01 that the new ball has improved his game?
Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Find the probability that a student had a score higher than 320.
The famous Y.S Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3 am, 7 am, 11am, 3pm, 7pm or 11pm, and each works an 8-hour shift. The following table shows the minimum number of worker needed during the six periods..
Find the probability that the carbon monoxide concentration exceeds 9 ppm during a randomly selected one-hour period.
the average annual age of doctors in a certain hospital is 44.0 years old with a standard deviation of 4.0 years.
If random sample of size n = 16 are selected, can we say anything about the xbar distribution of sample means?
assume the random variable has a binomial distribution with the given probability of obtaining a success.find the
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