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Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distribution shown below. 1 3 4 p(x) 0.07 0.11 0.23 0.27 0.21 0.11 2 p(y) 0.55 0.10 0.35 (a) Calculate the mean of x. Calculate the standard deviation of x. (Round the answers to three decimal places.) (b) Calculate the mean of y. Calculate the standard deviation of y. (Round the answers to three decimal places.)

Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distribution shown below. 1 3 4 p(x) 0.07 0.11 0.23 0.27 0.21 0.11 2 p(y) 0.55 0.10 0.35 (a) Calculate the mean of x. Calculate the standard deviation of x. (Round the answers to three decimal places.) (b) Calculate the mean of y. Calculate the standard deviation of y. (Round the answers to three decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distributions shown below. 1 4 p(x) 0.07 0.11 0.23 0.27 0.21 0.11 y 1 p(y) 0.55 0.10 0.35 (a) Calculate the mean of x. Calculate the standard deviation of x. (Round the answers to three decimal places.) (b) Calculate the mean of y. Calculate the standard deviation of y. (Round the answers to three decimal places.)
Transcribed Image Text:Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distributions shown below. 1 4 p(x) 0.07 0.11 0.23 0.27 0.21 0.11 y 1 p(y) 0.55 0.10 0.35 (a) Calculate the mean of x. Calculate the standard deviation of x. (Round the answers to three decimal places.) (b) Calculate the mean of y. Calculate the standard deviation of y. (Round the answers to three decimal places.)
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