Question

3. Suppose that you have a prior distribution for the probability $p$ of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for $p$?

Name: 3. Suppose that you have a prior distribution for the probability p of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for p?
Uploaded: 2023-07-02T21:41:38-08:00
Duration: 1 min 32 s
Channel: Lien Le
Description: 3. Suppose that you have a prior distribution for the probability p of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for p?

          3. Suppose that you have a prior distribution for the probability $p$ of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for $p$?

3. Suppose that you have a prior distribution for the probability p of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for p?

Added by Robert H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lien Le

07/02/2023

Step 1

Given that the mean of the prior distribution is 0.4 and the equivalent of 12 trials, we can use the formula for the mean of a beta distribution to calculate the parameters: mean = α / (α + β) 0.4 = α / (α + β) We also know that the equivalent of 12 trials is Show more…

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3. Suppose that you have a prior distribution for the probability p of success in a certain kind of gambling game which has mean 0.4, and that you regard your prior information as equivalent to 12 trials. You then play the game 25 times and win 12 times. What is your posterior distribution for p?