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Suppose that highway gas mileage rates for both of these cares are uniformly distributed over a range of from 20 to 30 mpg. What proportion of these cars would fall into the 22 to 27 mpg range? Compute the proportion of cars that get more than 28 mpg. What proportion of cars would get less than 23 mpg? 3. Suppose that in one dealership an average of 1.37 CLKs is sold every 3 hours (during a 12-hour showroom day) and that sales are Poisson distributed. The following Excel-produced probabilities indicate the occurrence of different intersales times based on this information. Study the output and interpret it for the salespeople. For example, what is the probability that less than an hour will elapse between sales? What is the probability that more than a day (12-hour day) will pass before the next sale after a car has been sold? What can the dealership managers do with such information? How can it help in staffing? How can such information be used as a tracking device for the impact of advertising? Is there a chance that these probabilities would change during the year? If so, why? Portion of 3-Hour Time Frame Cumulative Exponential Probabilities from Left 0.167 0.2045 0.333 0.3663 0.667 0.5990 1 0.7459 2 0.9354 3 0.9836 4 0.9958 5 0.9989
Can you think of other cases where the expected probabilities do not quite agree with the empirical values based on relative frequency?
The diameters of grapefruits in certain orchard are normally distributed with mean of 6.95 inches and a standard deviation of 0.75 inches. Show all work.
The standard deviaiton is 2 pounds. If 15% of the suitcases are overweight, find the maximum weight allowed by the airline. Assume the variable is normally distributed.
Assume that the value of X is controllable. What should be the value of X if the desired value for Y is 100. Construct a residual plot. Are the residuals random
Determine the mode for this distribution. Describe why you can't calculate the mean number of times using data in the table.
question 1using the telephone numbers listed in your local directory as your population randomly obtain 20 samples of
A physician wanted to estimate the mean length of time µ that a patient had to wait to see him after arriving at the office.
On a test, a sample of 5 students has a mean score of 78. The scores of four students of them are: 87, 81, 76, 53. Find the test score of the fifth student and standard deviation of this sample.
How large a sample must be selected if the company wants to be 85% confident that the true mean differs from the sample mean by no more than 1 day?
The nature of the hypothesis being tested, and the appropriateness of the statistical procedures employed in that test. You may illustrate your points using the tests you conducted.
Utilizing jacobian method finding the probability density function. Utilizing either the CDF method or Jacobian method illustrate the probability density function of Y is given.
A study concluded that waist to hip ratios are a better predictor of 5-year survival than more traditional height-to-weight ratios.
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