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Use the following encoded probability distribution for cost to determine the median. 09 08 07 0.6 Less 05 Than 04 02 0.1 02 03 0.4 0.5 Greater Than 0.6 07 0.8

Use the following encoded probability distribution for cost to determine the median. 09 08 07 0.6 Less 05 Than 04 02 0.1 02 03 0.4 0.5 Greater Than 0.6 07 0.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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**Using Probability Distributions to Determine the Median** In this exercise, you will use the following encoded probability distribution for cost to determine the median. The given graph is a cumulative probability distribution plotted against cost. Here’s a detailed explanation of the graph: - The x-axis represents the cost values ranging from 10 to 100. - The y-axis is the cumulative probability, split into two parts: "Less Than" and "Greater Than," each on either side of the y-axis. - The red curve represents the probability distribution, showing how the probability accumulates as cost increases from left to right. To find the median, look for the point on the x-axis where the cumulative probability is 0.5 (50%), which is the point where half the distribution lies below and half lies above. **Graph Explanation:** 1. **X-axis**: Cost, ranging from 10 to 100. 2. **Y-axis**: Probability, split into "Less Than" (left side, probabilities ranging from 0 to 1) and "Greater Than" (right side, probabilities ranging from 1 to 0). 3. **Curve Analysis**: - The curve starts at (10, 0) and ascends gradually. - At the point where y = 0.5, the corresponding x-value provides the median cost. **Question:** Given this information, select the correct median cost from the options below. **Options:** - a. ${0.825}$ - b. ${30}$ - c. ${40}$ - d. ${50}$ - e. ${None of the above}$ By analyzing the graph carefully and identifying the x-value where the red curve crosses y = 0.5, you'll be able to determine the correct median cost.
Transcribed Image Text:**Using Probability Distributions to Determine the Median** In this exercise, you will use the following encoded probability distribution for cost to determine the median. The given graph is a cumulative probability distribution plotted against cost. Here’s a detailed explanation of the graph: - The x-axis represents the cost values ranging from 10 to 100. - The y-axis is the cumulative probability, split into two parts: "Less Than" and "Greater Than," each on either side of the y-axis. - The red curve represents the probability distribution, showing how the probability accumulates as cost increases from left to right. To find the median, look for the point on the x-axis where the cumulative probability is 0.5 (50%), which is the point where half the distribution lies below and half lies above. **Graph Explanation:** 1. **X-axis**: Cost, ranging from 10 to 100. 2. **Y-axis**: Probability, split into "Less Than" (left side, probabilities ranging from 0 to 1) and "Greater Than" (right side, probabilities ranging from 1 to 0). 3. **Curve Analysis**: - The curve starts at (10, 0) and ascends gradually. - At the point where y = 0.5, the corresponding x-value provides the median cost. **Question:** Given this information, select the correct median cost from the options below. **Options:** - a. ${0.825}$ - b. ${30}$ - c. ${40}$ - d. ${50}$ - e. ${None of the above}$ By analyzing the graph carefully and identifying the x-value where the red curve crosses y = 0.5, you'll be able to determine the correct median cost.
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