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I need help with problem 6.14 and problem 20e. I want to learn how to solve them. 6.14 Consider the following probability distribution: NW x

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I need help with problem 6.14 and problem 20e. I want to learn how to solve them.

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6.14 Consider the following probability distribution: NW x O P(x) 3 a. Find u and o2. b. Find the sampling distribution of the sample mean x for a random sample of n = 2 measurements from this distribution. c. Show that x is an unbiased estimator of u. [Hint: Show that E(x) = Exp(x) = M.] d. Find the sampling distribution of the sample variance s for a random sample of n = 2 measurements from this distribution. e. Show that s is an unbiased estimator for o.Problem 20E A random sample of n = 900 observations is selected from a population with u = 100 and o = 10. a. What are the largest and smallest values of r that you would expect to see? b. How far, at the most, would you expect r to deviate from u? 0. Did you have to know u to answer part b? Explain

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