60000km on the ordinary road. Assuming that the durability of this new tyre is approximately normal distributed with a standard deviation of 6000 km, find the probability that a tyre selected at random will last more than 70000km. The tyre manufacturer guarantees to replace the tyres free with the new tyres if they last less than K km, determine the value of K if the tyre manufacturer intends to replace only 1% of all tyres.

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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A tyre manufacturer claims that its new tyre will last for an average distance of
60000km on the ordinary road. Assuming that the durability of this new tyre is
approximately normal distributed with a standard deviation of 6000 km, find the
probability that a tyre selected at random will last more than 70000km. The tyre
manufacturer guarantees to replace the tyres free with the new tyres if they last less
than K km, determine the value of K if the tyre manufacturer intends to replace only 1%
of all tyres.
46.
Transcribed Image Text:A tyre manufacturer claims that its new tyre will last for an average distance of 60000km on the ordinary road. Assuming that the durability of this new tyre is approximately normal distributed with a standard deviation of 6000 km, find the probability that a tyre selected at random will last more than 70000km. The tyre manufacturer guarantees to replace the tyres free with the new tyres if they last less than K km, determine the value of K if the tyre manufacturer intends to replace only 1% of all tyres. 46.
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