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1. * Give an example of a density function on Œ0; 1] by giving a formula such that the density is finite at zero, unbounded at one, has a unique minimum in the open interval .0; 1/, and such that the median is .5.
2. The time taken by a group of students to finish a quiz has the density function f .x/ D cx2.15 -x/; 0 --S x --S 15:
(a) Find the normalizing constant c that makes f .x/ a density function.
(b) What percentage of the students take more than ten minutes to finish the quiz? Less than five minutes?
(c) What is the mean time taken to finish the quiz?
3. * (A Mixed Distribution). Suppose the damage claims on a partic- ular type of insurance policy are uniformly distributed on Œ0; 5] (in thousands of dollars), but the maximum payout by the insurance company is 2500 dollars. Find the CDF and the expected value of the payout, and plot the CDF. What is unusual about this CDF?
a lot of 50 items has two defective items and 48 nondefective items. a random sample of 5 items is to be selected from
the seats were subjected to a safety stress test in which scores were assigned on a continuous scale of 0 to 10.
Brakes for a model of automobile fail with a Poisson distribution at an annual rate of 4.4/yr. What is the probability that
Main objective of this project is to do an analysis of a real life example. We must use all the skills we gotto do a good job. It's important to analyze thoroughly all the data, in order to achieve the best conclusion for making your client happy.
Historically the average age of European soccer players is reported as 26 years with a standard deviation of 4 years. A random sample of 81 European professional soccer players has an average age of 27 years.
The probability that husband and wife will b alive after 20 years from now is 0.8 and 0.9 respectively.find the probability that in 20 years time 1. both will b alive 2. neither of them will b alive 3. atleast one of them will be alive?
Carpet City wants to develops a means to forecast it carpet sale. The store manager believes that the store's sale are directly related to the number of new housing starts in town.
fine motor skills were measured in a sample of kindergarteners before and after 6 months of occupational therapy.
sixteen determinations of the ratio of iodine to silver in four different silver preparations were made with the
A study of elephants is conducted to determine the average weight of a certain subspecies of elephants. The standard deviation for the population is 500 pounds.
If true explain and if false give an example. a. The significance level of a statistical test is equal to the probability that the null hypothesis is true. b. If the significance level of a test is decreased, the power of the test would be expected t..
Suppose this data met all assumptions of a paired t-test. Why would you still be unable to test if there is a significant mean difference?
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