Answered: Find the expected value and variance of…

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Probability

Find the expected value and variance of F

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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Question

Find the probability that the sample proportion of these car tyres lies within two
standard deviations of the mean. Give your answer correct to three decimal places. Do
ii.
not use a normal approximation.
2 marks

Transcribed Image Text:Pr (P z 16,0) = 0.7 n= 36 RMIT Classification: Trusted d. Consider another brand D of car tyres. It has been found that the probability that these car tyres which last longer than 40,000 km is 0.7. For samples of 36 tyres of brand D, P is the random variable of the sample proportion of these tyres which last longer than 40,000 km. i. Find the expected value and variance of P

Expert Solution

Step 1

Given : $\hat{p}=0.7,n=36$

(i) The expected value and variance of $\hat{P}$

(ii) $P(\mu_{\hat{p}}-2*\sigma_{\hat{p}}<\hat{p}<\mu_{\hat{p}}+2*\sigma_{\hat{p}})$

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