A motorcycle manufacturer observes that the fuel efficiency of their brand A motorcycles (XA) is normally distributed with a mean of 2.76 (litres/100km) and a standard deviation of 0.67 (liters/100km). 1. Find the proportion of motorcycles that the fuel efficiencies are less than 3.43 (litres/100km). Answer: 0.8413 2. A motorcycle is qualified if its fuel efficiency is less than 3.43 (litres/100km). If this manufacturer is surveying 19 motorcycles, find the probability that there are at least 18 of them to be qualified. Answer: 0.1720 3. This manufacturer also conducted a survey on motorcycles of brand B (XB ). Suppose that XB also follows a normal distribution, which is XB ~ N(3.47, 0.53), and fuel efficiencies of these two motorcycle brands are independent. Let Y = XA - XB , compute P(Y > 0). Answer: 0.2030 X o 0.2033

A motorcycle manufacturer observes that the fuel efficiency of their brand A motorcycles (XA) is normally distributed with a mean of 2.76 (litres/100km) and a standard deviation of 0.67 (liters/100km). 1. Find the proportion of motorcycles that the fuel efficiencies are less than 3.43 (litres/100km). Answer: 0.8413 2. A motorcycle is qualified if its fuel efficiency is less than 3.43 (litres/100km). If this manufacturer is surveying 19 motorcycles, find the probability that there are at least 18 of them to be qualified. Answer: 0.1720 3. This manufacturer also conducted a survey on motorcycles of brand B (XB ). Suppose that XB also follows a normal distribution, which is XB ~ N(3.47, 0.53), and fuel efficiencies of these two motorcycle brands are independent. Let Y = XA - XB , compute P(Y > 0). Answer: 0.2030 X o 0.2033

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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