The following plot shows the posterior probability distribution using the non-informative and informative priors 30.0 25.0 -with non informative prior 20.0 15.0 -with informative prior 10.0 5.0 0.0 0.05 0.1 0.15 0.2 0.25 0.3 Which of the following statements are correct? The true value of is 0.075, but there is uncertainty from the collected data. After using the informative prior, the true value of 0 is known. The informative prior increases the uncertainty of 0. After using the informative prior, the true value of 0 remains unknown. The true value of 0 is 0.033, but there is uncertainty from the prior. O The informative prior decreases the uncertainty of 0. (ale)d OOO0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Question 5:
The following plot shows the posterior probability distribution using the non-informative and informative priors
30.0
25.0
with non informative prior
20.0
15.0
-with informative prior
10.0
5.0
0.0
0.05
0.1
0.15
0.2
0.25
0.3
Which of the following statements are correct?
The true value of 0 is O0.075, but there is uncertainty from the collected data.
After using the informative prior, the true value of ở is known.
The informative prior increases the uncertainty of 0.
After using the informative prior, the true value of 0 remains unknown.
The true value of O is 0.033, but there is uncertainty from the prior.
The informative prior decreases the uncertainty of 0.
(ale)d
O O O O O O
Transcribed Image Text:Question 5: The following plot shows the posterior probability distribution using the non-informative and informative priors 30.0 25.0 with non informative prior 20.0 15.0 -with informative prior 10.0 5.0 0.0 0.05 0.1 0.15 0.2 0.25 0.3 Which of the following statements are correct? The true value of 0 is O0.075, but there is uncertainty from the collected data. After using the informative prior, the true value of ở is known. The informative prior increases the uncertainty of 0. After using the informative prior, the true value of 0 remains unknown. The true value of O is 0.033, but there is uncertainty from the prior. The informative prior decreases the uncertainty of 0. (ale)d O O O O O O
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