The data y = (y₁,..., yn) is a sample from a normal distribution with unknown meanu and known standard deviation o = 2. The prior distribution for µ is normal N (μ0,02). The posterior distribution is u | y ~ N(μ₁,0²), where μο ny 1 27=111 - = ( ² + ²2² ) / (² / + ² )³ ²² = √ ( ²/3 + ²) M₁ n 02 and y is the sample mean. Suppose that we take µ = 0, and we want the prior probability P(|µ| ≤ A +20) to be 0.9, where A = 6 What value for go should we choose?
The data y = (y₁,..., yn) is a sample from a normal distribution with unknown meanu and known standard deviation o = 2. The prior distribution for µ is normal N (μ0,02). The posterior distribution is u | y ~ N(μ₁,0²), where μο ny 1 27=111 - = ( ² + ²2² ) / (² / + ² )³ ²² = √ ( ²/3 + ²) M₁ n 02 and y is the sample mean. Suppose that we take µ = 0, and we want the prior probability P(|µ| ≤ A +20) to be 0.9, where A = 6 What value for go should we choose?
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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Question
![The data y = (y₁,..., yn) is a sample from a normal distribution with unknown meanu and
known standard deviation o = 2. The prior distribution for µ is normal N (μ0,02). The
posterior distribution is u | y ~ N(μ₁,0²), where
μο ny 1
27=111
- = ( ² + ²2² ) / (² / + ² )³ ²² = √ ( ²/3 + ²)
M₁
n
02
and y is the sample mean.
Suppose that we take µ = 0, and we want the prior probability P(|µ| ≤ A +20) to be 0.9,
where A = 6
What value for go should we choose?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F340eecf6-2dbe-4964-aead-4c55d9744b59%2F0bdc3db6-beab-4dd6-a1b7-7f2627ad1b07%2Fyz2s90a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The data y = (y₁,..., yn) is a sample from a normal distribution with unknown meanu and
known standard deviation o = 2. The prior distribution for µ is normal N (μ0,02). The
posterior distribution is u | y ~ N(μ₁,0²), where
μο ny 1
27=111
- = ( ² + ²2² ) / (² / + ² )³ ²² = √ ( ²/3 + ²)
M₁
n
02
and y is the sample mean.
Suppose that we take µ = 0, and we want the prior probability P(|µ| ≤ A +20) to be 0.9,
where A = 6
What value for go should we choose?
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