Math Problem Statement
Solution
To determine if the given table represents a probability distribution, we need to verify two conditions:
- Non-negative probabilities: All the values of must be between 0 and 1, inclusive.
- Sum of probabilities equals 1: The total of all values must add up to 1.
Let's check these conditions for the provided table:
0 | 0 |
1 | 0.25 |
2 | 0.15 |
3 | 0.6 |
-
Non-negative probabilities: All values are between 0 and 1, so the first condition is satisfied.
-
Sum of probabilities: The sum is exactly 1, so the second condition is also satisfied.
Conclusion:
Yes, this table does represent a probability distribution.
Would you like further explanation or details?
Here are 5 related questions you might find helpful:
- What other types of probability distributions exist?
- How can probability distributions be used in real-world scenarios?
- What is the difference between discrete and continuous probability distributions?
- How do you calculate the expected value of a probability distribution?
- What are the properties of a binomial probability distribution?
Tip: When checking for a valid probability distribution, always ensure that the sum of all probabilities equals exactly 1!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability Distributions
Formulas
Sum of probabilities: ΣP(x) = 1
Theorems
Probability Distribution Theorem
Suitable Grade Level
Grades 10-12