Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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Refer to the accompanying​ table, which describes the number of adults in groups of five who reported sleepwalking. Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

**Probability Distribution Table**

The following table represents a discrete probability distribution.

| x | P(x) |
|---|------|
| 0 | 0.175 |
| 1 | 0.357 |
| 2 | 0.318 |
| 3 | 0.118 |
| 4 | 0.028 |
| 5 | 0.004 |

**Explanation:**
- **x**: Represents the random variable, which can take integer values from 0 to 5.
- **P(x)**: Represents the probability of the random variable x occurring.

This table can be used to study the probabilities associated with different outcomes of a random event. You can see that for x = 1, the probability P(x) is the highest at 0.357, while for x = 5, the probability P(x) is the lowest at 0.004. 

In practice, such distributions can be used in various fields such as economics, engineering, and social sciences to predict outcomes and make informed decisions based on the likelihood of different possibilities.
Transcribed Image Text:**Probability Distribution Table** The following table represents a discrete probability distribution. | x | P(x) | |---|------| | 0 | 0.175 | | 1 | 0.357 | | 2 | 0.318 | | 3 | 0.118 | | 4 | 0.028 | | 5 | 0.004 | **Explanation:** - **x**: Represents the random variable, which can take integer values from 0 to 5. - **P(x)**: Represents the probability of the random variable x occurring. This table can be used to study the probabilities associated with different outcomes of a random event. You can see that for x = 1, the probability P(x) is the highest at 0.357, while for x = 5, the probability P(x) is the lowest at 0.004. In practice, such distributions can be used in various fields such as economics, engineering, and social sciences to predict outcomes and make informed decisions based on the likelihood of different possibilities.
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