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In a binomial sampling trial with success probability theta, expert judgement gives a best estimate of 1/3 for theta, together with a that they are 95% sure that theta lies between 0.2 and 0.6. You decide to model theta with a beta distribution, the expert opinion about the expected value of theta implies the following abo relationship between the a and b parameters:

In a binomial sampling trial with success probability theta, expert judgement gives a best estimate of 1/3 for theta, together with a that they are 95% sure that theta lies between 0.2 and 0.6. You decide to model theta with a beta distribution, the expert opinion about the expected value of theta implies the following abo relationship between the a and b parameters:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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In a binomial sampling trial with success probability theta, expert judgement gives a best estimate of 1/3 for theta, together with a statement that they are 95% sure that theta lies between 0.2 and 0.6. You decide to model theta with a beta distribution, the expert opinion about the expected value of theta implies the following about the relationship between the a and b parameters: O A. b = 2a B. Impossible to say O C. b = a O D. a = 2b
Transcribed Image Text:In a binomial sampling trial with success probability theta, expert judgement gives a best estimate of 1/3 for theta, together with a statement that they are 95% sure that theta lies between 0.2 and 0.6. You decide to model theta with a beta distribution, the expert opinion about the expected value of theta implies the following about the relationship between the a and b parameters: O A. b = 2a B. Impossible to say O C. b = a O D. a = 2b
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