Suppose a cashier gives you a dollar coin in change. Because you have no reason to distrust this coin your prior is very high that this is a fair coin. In fact, your prior belief of the probability of the coin to give heads p(H) is the following probability distribution: p (p(H) = 0) = C 05⁰ (1 – 0)5⁰ de where C is just a normalization constant for the distribution to sum to 1: 60/110 1/2 61/112 You decide to flip the coin 10 times, and all 10 times it turns out head. What is your maximum likelihood estimate for the probability of the coin to give heads? 0 11/12 1 C 59/108 = 1 S²050 (1 - 0) 50
Suppose a cashier gives you a dollar coin in change. Because you have no reason to distrust this coin your prior is very high that this is a fair coin. In fact, your prior belief of the probability of the coin to give heads p(H) is the following probability distribution: p (p(H) = 0) = C 05⁰ (1 – 0)5⁰ de where C is just a normalization constant for the distribution to sum to 1: 60/110 1/2 61/112 You decide to flip the coin 10 times, and all 10 times it turns out head. What is your maximum likelihood estimate for the probability of the coin to give heads? 0 11/12 1 C 59/108 = 1 S²050 (1 - 0) 50
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Suppose a cashier gives you a dollar coin in change. Because you have no reason to
distrust this coin your prior is very high that this is a fair coin.
In fact, your prior belief of the probability of the coin to give heads p(H) is the
following probability distribution:
p (p(H) = 0) = C 05⁰ (1 - 0)5⁰ de
where C is just a normalization constant for the distribution to sum to 1:
60/110
1/2
61/112
You decide to flip the coin 10 times, and all 10 times it turns out head. What is your
maximum likelihood estimate for the probability of the coin to give heads?
0
11/12
1
C
59/108
=
1
S²05⁰ (1 - 0) 5⁰
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