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The random variable X is the crew size of a ra 2 4 5 P(X-X) 0.025 0.045 0.306 C a. Find and interpret the mean of the random (Round to three decimal places 11.T

The random variable X is the crew size of a ra 2 4 5 P(X-X) 0.025 0.045 0.306 C a. Find and interpret the mean of the random (Round to three decimal places 11.T

College Algebra
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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**Probability Distribution of Crew Sizes** In this exercise, we explore the crew size of a randomly selected shuttle mission. The probability distribution of the crew sizes is provided in the table below: | Crew Size (X) | Probability (P(X)) | |---------------|----------------------| | 2 | 0.025 | | 4 | 0.045 | | 5 | 0.306 | | 6 | 0.187 | | 7 | 0.431 | | 8 | 0.006 | **Task:** 1. Find and interpret the mean of the random variable \( \mu \). - (Round to three decimal places as needed) **Instructions:** - Use the buttons provided for calculation if necessary. - Refer to examples or get more help if you encounter challenges while solving the problem. - After completing your calculations, ensure to perform a final check of your answers. **Useful Tools:** - In the lower part of the screen, there are buttons for mathematical symbols and operations to assist with calculations. These include options for summation, standard deviations, and various statistical measures. **Note:** When interpreting the mean, remember that it represents the expected value of the crew size for a randomly chosen shuttle mission.
Transcribed Image Text:**Probability Distribution of Crew Sizes** In this exercise, we explore the crew size of a randomly selected shuttle mission. The probability distribution of the crew sizes is provided in the table below: | Crew Size (X) | Probability (P(X)) | |---------------|----------------------| | 2 | 0.025 | | 4 | 0.045 | | 5 | 0.306 | | 6 | 0.187 | | 7 | 0.431 | | 8 | 0.006 | **Task:** 1. Find and interpret the mean of the random variable \( \mu \). - (Round to three decimal places as needed) **Instructions:** - Use the buttons provided for calculation if necessary. - Refer to examples or get more help if you encounter challenges while solving the problem. - After completing your calculations, ensure to perform a final check of your answers. **Useful Tools:** - In the lower part of the screen, there are buttons for mathematical symbols and operations to assist with calculations. These include options for summation, standard deviations, and various statistical measures. **Note:** When interpreting the mean, remember that it represents the expected value of the crew size for a randomly chosen shuttle mission.
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