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b) Suppose that a random variable x has a probability density function given as (2(ß-x) B² f(x; B)= 0

b) Suppose that a random variable x has a probability density function given as (2(ß-x) B² f(x; B)= 0

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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SERT G Arial DESIGN PAGE LAYOUT REFERENCES 77 WORDS BIU abe X₂ X 12 pe here to search Font A A Aa ▾ AAN 51 Page ENGLISH (SOUTH AFRICA) E 115 MAILINGS O Et REVIEW Paragraph 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 p=0.35, derive an approximate standard error of B. II) Compute a 95% confidence interval for p | b) Suppose that a random variable x has a probability density function given as (2(B B² 0, 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 3, using part i) of Question b). €* T AaBbCc AaBbCc AaBbC AaBbCct AaB AaBbccE AaBbCcD Ad 1 Normal T No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em... Em VIEW f(x; B) = a Styles W CE 20°C ED O
Transcribed Image Text:SERT G Arial DESIGN PAGE LAYOUT REFERENCES 77 WORDS BIU abe X₂ X 12 pe here to search Font A A Aa ▾ AAN 51 Page ENGLISH (SOUTH AFRICA) E 115 MAILINGS O Et REVIEW Paragraph 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 p=0.35, derive an approximate standard error of B. II) Compute a 95% confidence interval for p | b) Suppose that a random variable x has a probability density function given as (2(B B² 0, 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 3, using part i) of Question b). €* T AaBbCc AaBbCc AaBbC AaBbCct AaB AaBbccE AaBbCcD Ad 1 Normal T No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em... Em VIEW f(x; B) = a Styles W CE 20°C ED O
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