Use the method of Exercise 8.25 to find the approximate value of the probability that a random variable having a chi-square distribution with v = 50 will take on a value greater than 68.0.
Answer to relevant QuestionsIf the range of X is the set of all positive real numbers, show that for k > 0 the probability that √2X – √2v will take on a value less than k equals the probability that X – v / √2v will take on a value less than ...Use the transformation technique based on Theorem 7.2 on page 218 to rework the proof of Theorem 8.14. Let f = u/v1 v/v2 and w = v.) Verify that if Y has a beta distribution with α = v1/2 and β = v2/2 , then X = v2Y/v1(1 – Y) Has an F distribution with v1 and v2 degrees of freedom. Find the sampling distribution of the median for random samples of size 2m+ 1 from the population of Exercise 8.49. Use the result of Exercise 8.58 to show that, for the random variable P defined there, What can we conclude from this about the distribution of P when n is large?
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