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If X is random variable with distribution function F, with continuous non-vanishing density f, obtain the density function of the random variable Y = Xk, for an even integer k.
Hint: Express the probability of the event (Xk < y) in terms of the distribution function F of X and proceed from there.
in a repair shop there are 7 cars and 4 pickups to be serviced. a mechanic has time to work on 5 vehicles in a given
Average of this group is 229. Population standard deviation for both groups is 6. At α = 0.01, is there difference in cholesterol levels between two groups?
What percentage of the bank's customers carries average daily balances below of $200? What percentage of the bank's customers carries average daily balances between $300 and $700?
1. what information does calculating standard deviation provide? how is the z-score related to standard deviation?2.
small sample mean problem. the maker of mini-oats cereal uses an automated packaging machine to pack its 24 ounce box
thin rubber strips are used to provide increasing resistance to orthopedic patients during large motion exercises. the
Nationwide, the average waiting time until electric utility customer service representative answers a call is 300 seconds per call. The Gigantic Kilowatt Energy Company took a sample of 35 calls and found that, on the average
1. an automobile dealership manager is comtemplating the placement of a series of new vehicles in the descending order
a company that produces an expensive stereo component is considering offering a warranty on the component. suppose the
Doctors nationally believe that 68% of a certain type of operation are successful. In a particular hospital 47 of these operations were observed and 37 of them were successful. At a = 0.05 is this hospital's success rate different from the nationa..
Test against the null hypothesis of a one sided alternative that the difference is more than 10 minutes. Use a .1 level of significance (alpha).
Suppose that the mean of the annual return for common stocks from 2000 to 2012 was 8.5%, and the standard deviation of the annual return was 25.2%.
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