A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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QUESTION 1
Tyre pressures on a certain type of car independently follow a normal
distribution with mean 1.9 bars and standard deviation 0.15 bars.
(i) Find the probability t'hat all four tyres on a car of this type have pressures
between 1.82 bars and 1.92 bars.
(ii) Safety regulations state that the pressures must be between 1.9-b bars
and 1.9 + b bars. It is known that 80% of tyres are within these safety
limits. Find the safety limits.
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Transcribed Image Text:QUESTION 1 Tyre pressures on a certain type of car independently follow a normal distribution with mean 1.9 bars and standard deviation 0.15 bars. (i) Find the probability t'hat all four tyres on a car of this type have pressures between 1.82 bars and 1.92 bars. (ii) Safety regulations state that the pressures must be between 1.9-b bars and 1.9 + b bars. It is known that 80% of tyres are within these safety limits. Find the safety limits.
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