Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:**SHORT ANSWER.** Write the word or phrase that best completes each statement or answers the question.
Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
4) In a certain town, 20% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.
| x | P(x) |
|---|-------|
| 0 | 0.4096 |
| 1 | 0.4096 |
| 2 | 0.1536 |
| 3 | 0.0256 |
| 4 | 0.0016 |
4) ____________
**Explanation of the Table:**
- The table shows a probability distribution where `x` represents the number of adults with a college degree out of a randomly selected group of four adults.
- `P(x)` represents the probability of exactly `x` adults having a college degree.
To verify if this is a valid probability distribution:
- Each probability must be between 0 and 1.
- The probabilities must sum to 1.
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