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ply this customer? 5 Verify that P(|X-μ|> ko) = 2[1-(k)] for any k > 0 if X is N(u,0²) distributed. 5 Verify that aX + b is N(au + b, a²o2) distributed if X is N(u,0²) distributed. awart vlinsuport 1200 di to 15h

ply this customer? 5 Verify that P(|X-μ|> ko) = 2[1-(k)] for any k > 0 if X is N(u,0²) distributed. 5 Verify that aX + b is N(au + b, a²o2) distributed if X is N(u,0²) distributed. awart vlinsuport 1200 di to 15h

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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Questions number 4.65 & 4.67

190 4 Continuous Random Variables 4.64 The lengths of steel beams made in a steel mill follow a normal distribution with an expected value of 10 m and a standard deviation of 0.07 m. A customer requires beams that are no shorter than 9.85 m and no longer than 10.15 m. What proportion of the mill's output can be used to supply this customer? todmun 1.65 Verify that P(X− µ| > ko) = 2[1-(k)] for any k > 0 if X is N(u,0²) distributed. .66 Verify that aX + b is N(au + b, a²o2) distributed if X is N(u,02) Unsuport 12nol ori distributed. 67 Somebody claims to have obtained 5,250 heads in 10,000 tosses of a fair coin. Do you believe this claim? 68 Let the random variable Z have the standard normal distribution. (a) Verify that the probability density function of |Z| is given by √2/1 e-² for z> 0 with E(Z) = √2/7 and o (Z))=√1-2/π. (6) TY
Transcribed Image Text:190 4 Continuous Random Variables 4.64 The lengths of steel beams made in a steel mill follow a normal distribution with an expected value of 10 m and a standard deviation of 0.07 m. A customer requires beams that are no shorter than 9.85 m and no longer than 10.15 m. What proportion of the mill's output can be used to supply this customer? todmun 1.65 Verify that P(X− µ| > ko) = 2[1-(k)] for any k > 0 if X is N(u,0²) distributed. .66 Verify that aX + b is N(au + b, a²o2) distributed if X is N(u,02) Unsuport 12nol ori distributed. 67 Somebody claims to have obtained 5,250 heads in 10,000 tosses of a fair coin. Do you believe this claim? 68 Let the random variable Z have the standard normal distribution. (a) Verify that the probability density function of |Z| is given by √2/1 e-² for z> 0 with E(Z) = √2/7 and o (Z))=√1-2/π. (6) TY
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