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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 and PMF f(x.B). i) If = 0.35, derive an approximate standard error of . ii) Compute a 95% confidence interval for B.

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 and PMF f(x.B). i) If = 0.35, derive an approximate standard error of . ii) Compute a 95% confidence interval for B.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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母 ☺ TO a) Let 3, 1,3,0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment four independent trials each with probability of a success B and PMF f(x,B). i) If = 0.35, derive an approximate standard error of . 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) f(x; B)= B² 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). Koena Filters Add a caption... O < (
Transcribed Image Text:母 ☺ TO a) Let 3, 1,3,0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment four independent trials each with probability of a success B and PMF f(x,B). i) If = 0.35, derive an approximate standard error of . 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) f(x; B)= B² 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). Koena Filters Add a caption... O < (
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