Your friend is a basketball player. To find out how good he is in free throws, you ask him to shoot 10 throws. You assume the three possible values 0.25, 0.50 and 0.75 for the success probability of the free shots of your friend. Before the 10 throws are shot, you believe that these three values have the respective probabilities 0.2, 0.6 and 0.2. What is the posterior distribution of the success probability given that your friend scores 7 times out of the 10 throws?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
icon
Related questions
Question

Your friend is a basketball player. To find out how good he is in free throws, you ask him
to shoot 10 throws. You assume the three possible values 0.25, 0.50 and 0.75 for the success
probability of the free shots of your friend. Before the 10 throws are shot, you believe that these
three values have the respective probabilities 0.2, 0.6 and 0.2. What is the posterior distribution
of the success probability given that your friend scores 7 times out of the 10 throws?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning