4. Assume that Y = (Y1, Y2, Y3, Y4) is a random sample (see page 5 of the handout) of the distribution U(0, 0), where 0 > 0 is the parameter. Assume that data have been obtained in response to this y = (11.56, 9.39, 13.37, 6.36) Suppose we know with certainty that 0 < 20. Let's use the uniform distribution p(0) between [0,20] as the prior distribution. i) Calculate the likelihood function 0 f(y|0) while justifying why f(y|0) O when 0 < 13.37. ii) Calculate the = density function 0 p(0|y) of the posterior distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Question
4. Assume that Y
=
(Y1, Y2, Y3, Y4) is a random sample (see page 5 of the handout) of
the distribution U(0, 0), where 0 > 0 is the parameter. Assume that data have been
obtained in response to this y = (11.56, 9.39, 13.37, 6.36)
Suppose we know with certainty that 0 < 20. Let's use the uniform distribution
p(0) between [0,20] as the prior distribution. i) Calculate the likelihood function
0 f(y|0) while justifying why f(y|0) O when 0 < 13.37. ii) Calculate the
=
density function 0 p(0|y) of the posterior distribution.
Transcribed Image Text:4. Assume that Y = (Y1, Y2, Y3, Y4) is a random sample (see page 5 of the handout) of the distribution U(0, 0), where 0 > 0 is the parameter. Assume that data have been obtained in response to this y = (11.56, 9.39, 13.37, 6.36) Suppose we know with certainty that 0 < 20. Let's use the uniform distribution p(0) between [0,20] as the prior distribution. i) Calculate the likelihood function 0 f(y|0) while justifying why f(y|0) O when 0 < 13.37. ii) Calculate the = density function 0 p(0|y) of the posterior distribution.
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