Advanced Physics Applet Exercise In Exercise 16.9, we used a beta prior with parameters a and B and found the posterior density for the parameter p associated with a geometric distribution. We determined that the posterior distribution of p | y is beta with parameters a = a + 1 and B = B + y – 1. Suppose we used a = 10 and B = 5 in our beta prior and observed the first success on trial 6. Determine an 80% credible interval for p.
Advanced Physics Applet Exercise In Exercise 16.9, we used a beta prior with parameters a and B and found the posterior density for the parameter p associated with a geometric distribution. We determined that the posterior distribution of p | y is beta with parameters a = a + 1 and B = B + y – 1. Suppose we used a = 10 and B = 5 in our beta prior and observed the first success on trial 6. Determine an 80% credible interval for p.
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Transcribed Image Text:Advanced Physics
Applet Exercise In Exercise 16.9, we used a
beta prior with parameters a and B and
found the posterior density for the
parameter p associated with a geometric
distribution. We determined that the
posterior distribution of p | y is beta with
parameters a = a + 1 and B = B + y – 1.
Suppose we used a = 10 and B = 5 in our
beta prior and observed the first success on
trial 6. Determine an 80% credible interval
%3D
for p.
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