A box contains 5 pennies, 3 dimes, 1 quarter, and 1 half-dollar. A coin is drawn at random. Let x be the value of a coin. a) Construct a probability distribution for the data. $ $ $ P(x) (Write as a decimal) b) Calculate E(X) (same as ), o², and o. Round to two decimal places. Population Mean: Select an answer v Population Standard Deviation: Select an answer v Population Variance: Select an answer v
A box contains 5 pennies, 3 dimes, 1 quarter, and 1 half-dollar. A coin is drawn at random. Let x be the value of a coin. a) Construct a probability distribution for the data. $ $ $ P(x) (Write as a decimal) b) Calculate E(X) (same as ), o², and o. Round to two decimal places. Population Mean: Select an answer v Population Standard Deviation: Select an answer v Population Variance: Select an answer v
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A box contains 5 pennies, 3 dimes, 1 quarter, and 1 half-dollar. A coin is drawn at random. Let x be the value of a coin.
a) Construct a probability distribution for the data.
| | $ | $ | $ | $ |
|------|----------|----------|----------|----------|
| X | | | | |
| P(x) | | | | |
| (Write as a decimal) | | | | |
b) Calculate \( E(X) \) (same as \( \mu \)), \( \sigma^2 \), and \( \sigma \).
Round to two decimal places.
- **Population Mean:** Select an answer =
- **Population Standard Deviation:** Select an answer =
- **Population Variance:** Select an answer =
c) What does the population mean tell us about this problem?
- Select an answer
d) What does the population standard deviation tell us about this problem?
- Select an answer
**Explanation of Components:**
- **Probability Distribution Table:**
- The table outlines positions to fill with the values \( X \) and their probabilities \( P(x) \) expressed in decimals for each denomination (e.g., penny, dime, quarter, half-dollar).
- **Calculations for Statistical Measures:**
- Instructions are provided to calculate the expected value \( E(X) \), which is the population mean \( \mu \).
- You are instructed to calculate the variance \( \sigma^2 \) and standard deviation \( \sigma \).
- **Questions Exploring Interpretation:**
- Questions ask you to reflect on what the population mean and standard deviation reveal about the problem, indicating their implications on understanding the distribution of coin values in the box.
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