Question

You toss a coin 20 times, coming up with the sequence (the spaces just help it look nice):
HHHTH HTHTH HHHTH THHTT
What’s the likelihood of it being a fair coin (prob of head = prob of tail = .5)?
Alternatively it could be an unfair coin with probability p of a head and 1-p of a tail.
What’s the likelihood as a function of p? What value of p maximizes the likelihood (or its ln)?

(5) Same sequence as in (5) except this time your friend gives it to you. You suspect him of
using two coins. If the last toss was a head he then uses a coin whose head-probability is p, if the
last toss was a tail he next uses a different coin with head-probability r. What is the likelihood
now as a function of p, r? What values of p, r maximize the ln likelihood?

Solution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Maximum Likelihood With Unfair Dice Problems

This is only a preview of the solution. Please use the purchase button to see the entire solution

Assisting Tutor

Related Homework Solutions

Probability Questions
Homework Solution
$40.00
Mathematics
Probability
Profit
Marginal Revenue
Maintenance
Cleaning
Equations
Failure Distribution
Dosage
Extreme Points
Probability Question
Homework Solution
$5.00
Probability
Question
Mathematics
Graduate
School
Problems
Section
Math
Solution
Analyzing a Customer Survey
Homework Solution
$50.00
Customer Survey
Analysis
Probability
Points
Intervals
Estimates
Product Dimensions
Descriptive Statistics
Charts
Elements of Statistics
Homework Solution
$10.00
Elements
Statistics
Situation
Questions
Degree
Relative
Mathematics
Amount
Estimation
Get help from a qualified tutor
Live Chats