Homework Help is Here – Start Your Trial Now!
Math
Statistics
If you tossed a coin 10 times and found 8 heads, and you're given the prior p(0) = 20, is the probability of the coin coming up head. What is the MAP estimate of ? 0.8 9 11 2 11 O 0.2

If you tossed a coin 10 times and found 8 heads, and you're given the prior p(0) = 20, is the probability of the coin coming up head. What is the MAP estimate of ? 0.8 9 11 2 11 O 0.2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Question:** If you tossed a coin 10 times and found 8 heads, and you're given the prior \( p(\theta) = 2\theta \), \(\theta\) is the probability of the coin coming up head. What is the MAP estimate of \(\theta\)? - ○ 0.8 - ○ \(\frac{9}{11}\) - ○ \(\frac{2}{11}\) - ○ 0.2 **Explanation:** In this problem, you need to find the Maximum A Posteriori (MAP) estimate of \(\theta\), which is the probability of the coin landing on heads. Given the prior \( p(\theta) = 2\theta \), you will use Bayes' Theorem to calculate which value of \(\theta\) is most likely given the prior and the observed data (8 heads out of 10 tosses). The options provided for \(\theta\) are 0.8, \(\frac{9}{11}\), \(\frac{2}{11}\), and 0.2.
Transcribed Image Text:**Question:** If you tossed a coin 10 times and found 8 heads, and you're given the prior \( p(\theta) = 2\theta \), \(\theta\) is the probability of the coin coming up head. What is the MAP estimate of \(\theta\)? - ○ 0.8 - ○ \(\frac{9}{11}\) - ○ \(\frac{2}{11}\) - ○ 0.2 **Explanation:** In this problem, you need to find the Maximum A Posteriori (MAP) estimate of \(\theta\), which is the probability of the coin landing on heads. Given the prior \( p(\theta) = 2\theta \), you will use Bayes' Theorem to calculate which value of \(\theta\) is most likely given the prior and the observed data (8 heads out of 10 tosses). The options provided for \(\theta\) are 0.8, \(\frac{9}{11}\), \(\frac{2}{11}\), and 0.2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS