https://file.aiquickdraw.com/mathbot/file/172667023412510pv66jj.jpg

To determine whether the given table represents a valid discrete probability distribution, we must check two conditions:

1. **Non-negativity**: All probabilities should be non-negative.
2. **Sum of probabilities**: The sum of all probabilities must equal 1.

From the table:
- Probabilities: \(0.11, 0.06, 0.25, 0.41, 0.51\)

Let's sum these probabilities to check if they equal 1:

\[
0.11 + 0.06 + 0.25 + 0.41 + 0.51 = 1.34
\]

Since the sum of probabilities is greater than 1, this table **does not** represent a valid discrete probability distribution.

Would you like more details, or do you have any questions? 

Here are some related questions:
1. What are the properties of a valid probability distribution?
2. How can you adjust probabilities to create a valid distribution?
3. What happens if the sum of probabilities is less than 1?
4. Can probabilities ever be negative in a valid distribution?
5. What is the significance of the total sum being exactly 1?

**Tip**: Always verify that the sum of probabilities in a distribution is exactly 1 to ensure its validity.

Does the following table represent a valid discrete probability distribution?

Learn how to check if a table represents a valid discrete probability distribution by verifying the sum of probabilities. This example covers the key properties of probability distributions, including non-negativity and summation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation