Suppose that a single observation X is to be taken from the uniform distribution on the interval 1 2, 1 2 , the value of is unknown, and the prior distribution of is the uniform distribution on the interval 10, 20 If the observed value of X is 12, what is the posterior distribution of ...

In this exercise and The condition that 12 x 12 is the ...

Suppose that a single observation X is to be taken from the uniform distribution on the interval

Question:

Suppose that a single observation X is to be taken from the uniform on the interval [θ – 1/2, θ + 1/2], the value of θ is unknown, and the prior of θ is the uniform on the interval [10, 20]. If the observed value of X is 12, what is the posterior of θ?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...