c. Consider another brand C of car tyres. From a random sample of 36 car tyres, it has beenfound that 26 of these car tyres last longer than 40,000 km. Find a 95% confidenceinterval corresponding to the sample proportion of brand C car tyres which last longerthan 40,000 km. Give values correct to three decimal places. RMIT Classification: Trustedb. Brand Bof car tyres, have a lifetime which is normally distributed. Records show that 11%of these tyres have a lifetime of more than 61.000 km while 20% become un-usable beforetravelling 42,500 km. Determine the mean and standard deviation of the lifetime of brandB, giving your answers to the nearest thousand km.

Answered: b. Brand B of car tyres, have a…

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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Transcribed Image Text:c. Consider another brand C of car tyres. From a random sample of 36 car tyres, it has been found that 26 of these car tyres last longer than 40,000 km. Find a 95% confidence interval corresponding to the sample proportion of brand C car tyres which last longer than 40,000 km. Give values correct to three decimal places.

Transcribed Image Text:RMIT Classification: Trusted b. Brand Bof car tyres, have a lifetime which is normally distributed. Records show that 11% of these tyres have a lifetime of more than 61.000 km while 20% become un-usable before travelling 42,500 km. Determine the mean and standard deviation of the lifetime of brand B, giving your answers to the nearest thousand km.

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Normal Distribution: A continuous random variable X is said to follow Normal distribution with parameters μ and σ² if its probability density function is given by,

It is denoted by,

Then by property of normal distribution,

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