Purchase Solution

Probability of mutually exclusive events discussed

Not what you're looking for?

Ask Custom Question

Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent? Explain the answer, and also prove it algebraically using the definitions of mutually-exclusive and independent events.

Purchase this Solution

Solution Summary

This is a proof regarding independent and mutually exclusive events.

Solution Preview

First, let me provide some definitions and examples:
Mutually Exclusive Events
Two events are mutually exclusive if they cannot occur at the same time. In another word, that means mutually exclusive is identical to being disjoint.
If two events are disjoint, then the probability of them both occurring at the same time is 0.
That is, P(A and B) = 0 ------(a)
If ...

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

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

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

Solving quadratic inequalities

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