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The Goodstone Tyre Company states that the useable life of its tyres is normally distributed with a mean of 41,000 km and a standard deviation of 1,200 km. (a) (i) Find the percentage of tyres that could be expected to have a useable life of more than 43,000 km. (ii) If John buys a Goodstone tyre, find the probability that he will have to replace it before he has driven 40,000 km with it on his car. (iii) The company guarantees to replace, free of charge, any tyre that wears out before it has covered 37,000 km. If they sell 15,400 tyres in one year, how many would they expect to have to replace?

The Goodstone Tyre Company states that the useable life of its tyres is normally distributed with a mean of 41,000 km and a standard deviation of 1,200 km. (a) (i) Find the percentage of tyres that could be expected to have a useable life of more than 43,000 km. (ii) If John buys a Goodstone tyre, find the probability that he will have to replace it before he has driven 40,000 km with it on his car. (iii) The company guarantees to replace, free of charge, any tyre that wears out before it has covered 37,000 km. If they sell 15,400 tyres in one year, how many would they expect to have to replace?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Goodstone Tyre Company states that the useable life of its tyres is normally distributed with a mean of 41,000 km and a standard deviation of 1,200 km. (a) (i) Find the percentage of tyres that could be expected to have a useable life of more than 43,000 km. (ii) If John buys a Goodstone tyre, find the probability that he will have to replace it before he has driven 40,000 km with it on his car. (iii) The company guarantees to replace, free of charge, any tyre that wears out before it has covered 37,000 km. If they sell 15,400 tyres in one year, how many would they expect to have to replace?
Transcribed Image Text:The Goodstone Tyre Company states that the useable life of its tyres is normally distributed with a mean of 41,000 km and a standard deviation of 1,200 km. (a) (i) Find the percentage of tyres that could be expected to have a useable life of more than 43,000 km. (ii) If John buys a Goodstone tyre, find the probability that he will have to replace it before he has driven 40,000 km with it on his car. (iii) The company guarantees to replace, free of charge, any tyre that wears out before it has covered 37,000 km. If they sell 15,400 tyres in one year, how many would they expect to have to replace?
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