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 andbuses 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 distributionsshown below.14p(x)0.070.110.230.270.210.11y1p(y)0.550.100.35(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.)

Given data is x 0 1 2 3 4 5 P(x) 0.07 0.11 0.23 0.27 0.21 0.11

Answered: Consider a large ferry that can…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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. x 0 1 2 3 4 5 p(x) 0.03 0.09 0.23 0.37 0.19 0.09 y 0 1 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.)
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