Unformatted text preview: σ 2 , further assume x 1 = 0.75, x 2 = 0.16. How sure (or confident) would you be that a) σ 2 > 1.0221 ? b) σ 2 > 0.4242 ? c) σ 2 > 2.7909 8. Exercise 7.38 in page 392. 9. Let x 1 , x 2 , …, x n be a random sample of n observations from an exponential distribution with mean β . Derive largesample confidence interval for β . 10. Let X 1 , X 2 be a random sample of a random variable X whose density is exponential with parameter θ = 1. a) Show that X 1 / X 2 has an F distribution with degrees of freedoms 2 and 2. b) Find a and b such that P(X 1 / X 2 < a) = 0.95, P(a < X 1 / X 2 < b) = 0.04 11. Exercise 6.68 in page 357 of the textbook. 12. Exercise 6.69 in page 357 of the textbook. 13. Exercise 7.36 in page 391 of the textbook. 14. Exercise 7.40 in page 392 of the textbook....
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 Fall '10
 DILEKGüVENç
 Normal Distribution, Variance, Probability theory

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