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)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02433631-7a65-4f58-bcbc-1ca9258e00c4%2F99a8d80d-8601-4b6f-aa58-c21e1a2a4ee6%2F1g1tdbh_processed.jpeg&w=3840&q=75)
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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