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Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (а). (b). Calculate the variance of x. (c) Calculate the standard deviation of x Calculate the expected (average) value of x.

Given the following discrete probability distribution, XP(x) 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (а). (b). Calculate the variance of x. (c) Calculate the standard deviation of x Calculate the expected (average) value of x.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 31CR
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Given the following discrete probability distribution, |x P(x) | 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (a). Calculate the expected (average) value of x. (b). Calculate the variance of x. (c) Calculate the standard deviation of x QUESTION 5 A government agency wants to test a refining company's claim that the mileage achieved with its unleaded gasoline (A) is at equal or less than that achieved with its leaded gasoline (B). Fifteen car models are chosen; a given driver drives each model twice over the identical route. At random, each driver is given brand A or brand B first, then drives with the other brand during the second trip. This procedure is designed to conduct a sign test at the 2.5 percent level of significance is chosen. Make the test, using the government's following Table data. TABLE: Gasoline Experiment Miles per Gallon Car Model Unleaded Gas (A) Leaded Gas (B) 22.1 23.7 2 15.7 16.1 3 18.2 19.0 4 19.0 19.0 5 25.7 24.2 6. 19.2 22.0 7 11.9 12.1 8 28.0 30.2 9. 35.0 37.8 10 27.0 30.0 11 19.7 19.0 12 16.3 15,1 13 21.2 23.4 14 22.2 20.7 15 27.8 28.1
Transcribed Image Text:Given the following discrete probability distribution, |x P(x) | 42 0.375 65 0.15 70 0.225 75 0.05 90 0.2 (a). Calculate the expected (average) value of x. (b). Calculate the variance of x. (c) Calculate the standard deviation of x QUESTION 5 A government agency wants to test a refining company's claim that the mileage achieved with its unleaded gasoline (A) is at equal or less than that achieved with its leaded gasoline (B). Fifteen car models are chosen; a given driver drives each model twice over the identical route. At random, each driver is given brand A or brand B first, then drives with the other brand during the second trip. This procedure is designed to conduct a sign test at the 2.5 percent level of significance is chosen. Make the test, using the government's following Table data. TABLE: Gasoline Experiment Miles per Gallon Car Model Unleaded Gas (A) Leaded Gas (B) 22.1 23.7 2 15.7 16.1 3 18.2 19.0 4 19.0 19.0 5 25.7 24.2 6. 19.2 22.0 7 11.9 12.1 8 28.0 30.2 9. 35.0 37.8 10 27.0 30.0 11 19.7 19.0 12 16.3 15,1 13 21.2 23.4 14 22.2 20.7 15 27.8 28.1
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ISBN:
9780321964038
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Publisher:
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