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Find the expected value and variance of F

Find the expected value and variance of F

A First Course in Probability (10th Edition)
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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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: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
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
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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