The manufacturers of a new model of car state that, when travelling at 56 miles per hour, the petrol consumption has a mean value of 32.4 miles per gallon with a standard deviation of 1.4 miles per gallon. Assuming a normal distribution, a) calculate the probability that a randomly chosen car of that model will have a petrol consumption greater than 30 miles per gallon when travelling at 56 miles per hour. b) Using R Studio to verify the probability in part a) above.

The manufacturers of a new model of car state that, when travelling at 56 miles per hour, the petrol consumption has a mean value of 32.4 miles per gallon with a standard deviation of 1.4 miles per gallon. Assuming a normal distribution, a) calculate the probability that a randomly chosen car of that model will have a petrol consumption greater than 30 miles per gallon when travelling at 56 miles per hour. b) Using R Studio to verify the probability in part a) above.

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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