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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 ß and PMF f(x, B). i) If p=0.35, derive an approximate standard error of B. Compute a 95% confidence interval for B. | 11)

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. Compute a 95% confidence interval for B. | 11)

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 31E
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DESIGN 12 PAGE LAYOUT Uabe X₂ X² DS D re to search Font A A Aa A--A- a) REFERENCES 11) b) 51 Page ENGLISH (SOUTH AFRICA) G O SSTA022 MAIN EXAM 2022(2) - Word (Product Activation Failed) REVIEW VIEW MAILINGS 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 B and PMF f(x, B). i) If = 0.35, derive an approximate standard error of B. Compute a 95% confidence interval for B. Suppose that a random variable x has a probability density function given as (2(ß-x) 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 p, using part i) of Question b). Et EE ↓ Paragraph AaBbCc AaBbCc AaBbC AaBbCcL AaB AaBbcct AaBbCcD AaBb 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em... Emph. f(x; B) = 2 a Styles w E 20°C ED E FA ENG
Transcribed Image Text:DESIGN 12 PAGE LAYOUT Uabe X₂ X² DS D re to search Font A A Aa A--A- a) REFERENCES 11) b) 51 Page ENGLISH (SOUTH AFRICA) G O SSTA022 MAIN EXAM 2022(2) - Word (Product Activation Failed) REVIEW VIEW MAILINGS 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 B and PMF f(x, B). i) If = 0.35, derive an approximate standard error of B. Compute a 95% confidence interval for B. Suppose that a random variable x has a probability density function given as (2(ß-x) 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 p, using part i) of Question b). Et EE ↓ Paragraph AaBbCc AaBbCc AaBbC AaBbCcL AaB AaBbcct AaBbCcD AaBb 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em... Emph. f(x; B) = 2 a Styles w E 20°C ED E FA ENG
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