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The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle with area 1 below depicts this. The area of the shaded rectangle is the probability that a mechanic finishes the oil change between 23.45 minutes and 27.84 minutes. Find the area of the shaded rectangle. Round your answer to 4 decimal places (if possible). 23.45 27.84 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 The area of the shaded rectangle is

The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle with area 1 below depicts this. The area of the shaded rectangle is the probability that a mechanic finishes the oil change between 23.45 minutes and 27.84 minutes. Find the area of the shaded rectangle. Round your answer to 4 decimal places (if possible). 23.45 27.84 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 The area of the shaded rectangle is

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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**Oil Change Time Probability Exercise** The task is to determine the probability that a mechanic will finish an oil change within a specific time frame, given a uniform distribution between 11 and 30 minutes. **Problem Statement:** The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle in the diagram represents this distribution. The area of the shaded rectangle is the probability of a mechanic completing the oil change between 23.45 minutes and 27.84 minutes. Your goal is to find the area of this shaded rectangle, which corresponds to the probability. Round your answer to four decimal places if possible. **Diagram Explanation:** The diagram shows a uniform distribution from 11 to 30 minutes. There is a shaded rectangle extending from 23.45 minutes to 27.84 minutes, representing the time interval for which the probability is to be calculated. **Calculation Instructions:** To find the probability: 1. Determine the width of the shaded interval: \(27.84 - 23.45\). 2. Since the distribution is uniform, the height of the rectangle is the same across the interval. 3. Calculate the area of the shaded rectangle, which corresponds to the probability. **Answer Box:** Below the diagram, there is an input box to enter the calculated area of the shaded rectangle. Press the "Submit Question" button after entering your answer. For further assistance, click on "Message instructor" for help.
Transcribed Image Text:**Oil Change Time Probability Exercise** The task is to determine the probability that a mechanic will finish an oil change within a specific time frame, given a uniform distribution between 11 and 30 minutes. **Problem Statement:** The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30 minutes. The rectangle in the diagram represents this distribution. The area of the shaded rectangle is the probability of a mechanic completing the oil change between 23.45 minutes and 27.84 minutes. Your goal is to find the area of this shaded rectangle, which corresponds to the probability. Round your answer to four decimal places if possible. **Diagram Explanation:** The diagram shows a uniform distribution from 11 to 30 minutes. There is a shaded rectangle extending from 23.45 minutes to 27.84 minutes, representing the time interval for which the probability is to be calculated. **Calculation Instructions:** To find the probability: 1. Determine the width of the shaded interval: \(27.84 - 23.45\). 2. Since the distribution is uniform, the height of the rectangle is the same across the interval. 3. Calculate the area of the shaded rectangle, which corresponds to the probability. **Answer Box:** Below the diagram, there is an input box to enter the calculated area of the shaded rectangle. Press the "Submit Question" button after entering your answer. For further assistance, click on "Message instructor" for help.
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