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QUESTION 4 a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of four independent trials each with probability of a success ß and PMF f(x,B). i) If = 0.35, derive an approximate standard error of B. ii) Compute a 95% confidence interval for B.

QUESTION 4 a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of four independent trials each with probability of a success ß and PMF f(x,B). i) If = 0.35, derive an approximate standard error of B. ii) Compute a 95% confidence interval for B.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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QUESTION 4 a) Let 3, 1,3,0,3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of four independent trials each with probability of a success ß and PMF f(x,B). i) If = 0.35, derive an approximate standard error of B. ii) Compute a 95% confidence interval for B. b) Suppose that a random variable X has a probability density function given as (2(B-x) 0<x<B elsewhere i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper confidence limit for B, using part i) of Question 4 b). f(x; B) = B2
Transcribed Image Text:QUESTION 4 a) Let 3, 1,3,0,3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of four independent trials each with probability of a success ß and PMF f(x,B). i) If = 0.35, derive an approximate standard error of B. ii) Compute a 95% confidence interval for B. b) Suppose that a random variable X has a probability density function given as (2(B-x) 0<x<B elsewhere i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper confidence limit for B, using part i) of Question 4 b). f(x; B) = B2
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