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1. Let {Xn : n >=1} be a sequence of positive independent random variables with E(Xn) = c 2 (0; 1) for each n. Let Yn = X1X2...Xn, the product of the Xi's. Use Markov's inequality to prove that Yn ~ 0 in probability.
2. Let X1; : : : ;Xn be iid Unif(0; 1) random variables.
(a) De ne Mn = max(X1; : : : ;Xn). Find the CDF of Mn.(b) Prove that n(1-Mn) ! Z in distribution, where Z has CDF FZ(z) = 1-e^-z.
Without good measurement, statistical analysis is worthless." Do you believe it is an overgeneralization, or do you think it is accurate as written?
The mean of a normal probability distribution is 60; the standard deviation is 5.
Any state auto insurance company took a random sample of 370 insurance claims paid out during a 1-year period. the average claim was $750 with a standard deviation of $150. find .99 confidence interval for the mean claim payment.
A manufacturer claims that he makes light bulbs each of which has a 0.9 probability of operating successfully when plugged in.
The membership for the club this year isobserved to be 14 freshman, 19 sophomores, 51 Juniors and 16Seniors. At 95% level of confidence, test the advisors belief..
The mean statistic test scores is 64 and the standard deviation is 6.0. For the biology test scores, the mean is 25 and the standard deviation is
A coin was flipped 60 times and came up heads 36 times. Determine the critical value you would use to test whether proportion of heads is greater than 0.50 at 10% level of significance?
what is the expected number of claims by males under 25? what is the standard deviation of the distribution. (How to show on excel using binodist formula).
The controller of Dash Shoes Inc. instructs you to prepare a monthly cash budget for the next three months. You are presented with the following budget information:
A researcher tested the reading ability of two groups of primary care patients. The scores on the test range from 1 to 9 with 9 indicating a high degree of reading ability and 1 very limited reading ability.
Create ADM/PERT diagram. Determine the critical path.
How much of the variation in the dependent variable would be explained by the independent variable in this situation? Use job satisfaction and employee turnover as the variables for this problem.
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