Purchase Solution

Probability : Independence and Conditional Independence

Not what you're looking for?

Ask Custom Question

A person tried by a 3-judge panel is declared guilty if at least 2 judges cast votes of guilty. Suppose that when the defendant is in fact guilty, each judge will independently vote guilty with probability 0.7. whereas when the defendant is, in fact, innocent, this probability drops to 0.2. If 70 percent of defendants are guilty, compute the conditional probability that judge number 3 votes guilty given that:

(a) judges 1 and 2 vote guilty:
(b) judges 1 and 2 cast 1 guilty and 1 not guilty vote:
(c) judges 1 and 2 both cast not guilty votes.
Let Ei i = 1, 2, 3 denote the event that judge 1 casts a guilty vote. Are these events independent? Are they conditionally independent? Explain.

Purchase this Solution

Solution Summary

Independence and conditional independence of events are investigated. The solution is detailed and well presented.

Purchase this Solution


Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts