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Give an example of a discrete random variable. The number of gallons of concrete used at a construction site O The time required for a runner to finish a marathon The temperature of a pot roast cooking in an oven The number of beverages sold at a lemonade stand The number of inches of rainfall in a county

Give an example of a discrete random variable. The number of gallons of concrete used at a construction site O The time required for a runner to finish a marathon The temperature of a pot roast cooking in an oven The number of beverages sold at a lemonade stand The number of inches of rainfall in a county

MATLAB: An Introduction with Applications
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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### Example of a Discrete Random Variable When studying probability and statistics, it's essential to differentiate between discrete and continuous random variables. Discrete random variables count things and take specific values only, whereas continuous random variables can take any value within a range. Consider the question below: **Give an example of a discrete random variable:** 1. The number of gallons of concrete used at a construction site 2. The time required for a runner to finish a marathon 3. The temperature of a pot roast cooking in an oven 4. The number of beverages sold at a lemonade stand 5. The number of inches of rainfall in a county **Explanation:** - "The number of gallons of concrete used at a construction site" is a countable quantity, which makes it a discrete random variable. - "The time required for a runner to finish a marathon" is measured and can take any value, which makes it a continuous random variable. - "The temperature of a pot roast cooking in an oven" is also a measurable quantity and can take any value within a range, making it continuous. - "The number of beverages sold at a lemonade stand" is countable, making it a discrete random variable. - "The number of inches of rainfall in a county" can take any value within a range, making it continuous. Therefore, the appropriate examples of discrete random variables from the given choices are: - The number of gallons of concrete used at a construction site - The number of beverages sold at a lemonade stand
Transcribed Image Text:### Example of a Discrete Random Variable When studying probability and statistics, it's essential to differentiate between discrete and continuous random variables. Discrete random variables count things and take specific values only, whereas continuous random variables can take any value within a range. Consider the question below: **Give an example of a discrete random variable:** 1. The number of gallons of concrete used at a construction site 2. The time required for a runner to finish a marathon 3. The temperature of a pot roast cooking in an oven 4. The number of beverages sold at a lemonade stand 5. The number of inches of rainfall in a county **Explanation:** - "The number of gallons of concrete used at a construction site" is a countable quantity, which makes it a discrete random variable. - "The time required for a runner to finish a marathon" is measured and can take any value, which makes it a continuous random variable. - "The temperature of a pot roast cooking in an oven" is also a measurable quantity and can take any value within a range, making it continuous. - "The number of beverages sold at a lemonade stand" is countable, making it a discrete random variable. - "The number of inches of rainfall in a county" can take any value within a range, making it continuous. Therefore, the appropriate examples of discrete random variables from the given choices are: - The number of gallons of concrete used at a construction site - The number of beverages sold at a lemonade stand
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