Math Problem Statement
Complete the following probability distribution table:
Probability Distribution Table X P(X) -14 0.5 8 0.1 18 0.1 80 X
Solution
To complete the probability distribution table, remember that the sum of all probabilities in a probability distribution must equal 1.
Given:
The equation becomes:
Solve for :
Completed Probability Distribution Table:
-14 | 0.5 |
8 | 0.1 |
18 | 0.1 |
80 | 0.3 |
The missing probability is .
Would you like additional examples or detailed explanations?
5 Related Questions:
- How can you verify if a given probability distribution table is valid?
- What is the importance of the sum of probabilities equaling 1?
- How do you find the expected value of a probability distribution?
- What happens if the probabilities in a distribution sum to more or less than 1?
- Can you construct a probability distribution for a continuous variable?
Tip:
For discrete probability distributions, always double-check that all probabilities are non-negative and their total equals exactly 1.
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Math Problem Analysis
Mathematical Concepts
Probability
Probability Distribution
Basic Algebra
Formulas
Sum of probabilities in a distribution: ∑P(X) = 1
Theorems
Fundamental Rule of Probability Distributions
Suitable Grade Level
Grades 9-10
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