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Question: (a) Fred visits Blotch ville again. He finds that the city has installed an electronic display at the bus stop, showing the time when the previous bus arrived. The times between arrivals of buses are still independent Exponentials with mean 10 minutes. Fred waits for the next bus, and then records the time between that bus and the previous bus. On average, what length of time between buses does he see?
(b) Fred then visits Blunder ville, where the times between buses are also 10 minutes on average, and independent. Yet to his dismay, he finds that on average he has to wait more than 1 hour for the next bus when he arrives at the bus stop! How is it possible that the average Fred-to-bus time is greater than the average bus-to-bus time even though Fred arrives at some time between two bus arrivals? Explain this intuitively, and construct a specific discrete distribution for the times between buses showing that this is possible.
How many automobiles should be used in the test? Assume that preliminary mileage tests indicate the standard deviationis 2.6 miles per gallon.
Let X be net income of the AirCanada from the above described random experiment. Compute the probability function of X.
question the scores on an exam are normally distributed with micro 30 and s 7. show your working.a what percent of
Test the hypothesis that the average number of days that a home is on the market in City A is different from City B using the following sample data:
what is the probability that the next subgroup average will fall outside the control limits? On average, how many subgroups will have to be looked at in order to detect this shift?
Obtaining uniform random numbers as instructed at the beginning of the Problems section, generate three random observations (approximately) from a normal distribution with main = 0 and standard deviation = 1.
the weight of the cereal in a box is a random variable with mean 12.15 ounces and standard deviation 0.2 ounce. what
During 2007, sales of new, privately owned homes in the total United States and in the western states were broken down into price categories as follows:
Use the Poisson distribution to find the indicated probabilities. Currently 11 babies are born in the village of West Point (population of 760) each year.
public transportation and the automobile are two methods an employee can use to get towork each day. samples of times
Aircraft Altimeters The Skytek Avionics company uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in errors listed below.
Verify value of t for the independent Variable, using formula. (That is, using formula in the Formula Sheet compute the t statistic , given data provided in the print out).
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