Compute the distributions and expectation
Two fair dice are bing tossed. Let X be the sum of the outcomes.
(a) Compute the distributions and expectation of X.
(b) Compute the distributions and expectation of X2 .
(c) Is E(X) 2 = E(X2 )? Which is bigger? Is that surprising?
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The blood pressure requirements of a single patient were taken by twelve different medical students and the results are listed below.
Glaucoma is disease of eye which is manifested by high intraocular pressure. The distribution of intraocular pressure in general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg.
In the study of perception, 147 men are tested and 17 are found to have red/green color blindness. Determine a 93% confidence interval for true proportion of men from sampled population which have this kind of color blindness.
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Two fair dice are bing tossed. Let X be the sum of the outcomes. Compute the distributions and expectation of X.
An exclusive club for top students has to elect the new President and Treasurer. There are 50 students in the club, and all are eligible for election. No person can have two jobs. How many di?erent choices of o?cers are possible if:
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Let Ymin be the smallest order statistic in random sample of size n drawn from the uniform pdf, f sub Y (y; ?) = 1/?, 0 ? y ? ?. Find an unbiased estimator for ? based on Ymin.
A study investigates the performance of students in an exam, which is known to follow a normal distribution, with a mean of 63 and a standard deviation of 21. What is the probability that the average score of 2 randomly selected students is more t
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