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...
icon
Related questions
Question
**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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON