Let X1, X2,., Xn be a random sample from a uniform distribution on the interval [0, 0] , so thatf(x) = 1/0if 0 s x< 0Then if Y = max (X), it can be shown that the random variable U = Y/0 has density functionf(u) = nun-1if 0 sus1IfP( (a/2)1/n < Y/0 < (1-a/2)/n)=1-aа.Derive a 100(1-a)% Cl for 0 based on this probability statement.If my waiting time for a morning bus is uniformly distributed and observed waiting times are x,=4.2, x2=3.5, X3=1.7 ,X4=1.2 , and x5=2.4, (Use 3digits after decimal point)95% CI for 0 is [b. IfP( a/n < Y/0 < 1)=1-aDerive a 100(1-a)% CI for 0 based on this probability statement.If my waiting time for a morning bus is uniformly distributed and observed waiting times are x1=4.2, x2=3.5, X3=1.7 ,X4=1.2 , and x5=2.4, (Use 3digits after decimal point)95% CI for 0 is [Which of the two intervals derived previously is shorter?C.

Answered: Image /qna-images/answer/eaf7592b-ea3f-4e25-a7ab-6dc9939213f3.jpg

Let X1, X2,., X, be a random sample from a uniform distribution on the interval [0, e] , so that f(x) = 1/0 if 0 s x < 0 Then if Y = max (X), it can be shown that the random variable U = Y/O has density function f(u) = nun-1 if 0 sus1 If P( (a/2)/n s Y/0 < (1-a/2)n)=1-a а. Derive a 100(1-a)% CI for 0 based on this probability statement. If my waiting time for a morning bus is uniformly distributed and observed waiting times are x1=4.2, X2=3.5, x3=1.7 ,X4=1.2, and x5=2.4, (Use 3 digits after decimal point) 95% CI for e is [ b. If P(an s Y/e < 1)=1-a Derive a 100(1-a)% Cl for e based on this probability statement. If my waiting time for a morning bus is uniformly distributed and observed waiting times are x,=4.2, x2=3.5, X3=1.7 X4=1.2, and xs=2.4, (Use 3 digits after decimal point) 95% CI for e is [ с. Which of the two intervals derived previously is shorter?

Let X1, X2,., X, be a random sample from a uniform distribution on the interval [0, e] , so that f(x) = 1/0 if 0 s x < 0 Then if Y = max (X), it can be shown that the random variable U = Y/O has density function f(u) = nun-1 if 0 sus1 If P( (a/2)/n s Y/0 < (1-a/2)n)=1-a а. Derive a 100(1-a)% CI for 0 based on this probability statement. If my waiting time for a morning bus is uniformly distributed and observed waiting times are x1=4.2, X2=3.5, x3=1.7 ,X4=1.2, and x5=2.4, (Use 3 digits after decimal point) 95% CI for e is [ b. If P(an s Y/e < 1)=1-a Derive a 100(1-a)% Cl for e based on this probability statement. If my waiting time for a morning bus is uniformly distributed and observed waiting times are x,=4.2, x2=3.5, X3=1.7 X4=1.2, and xs=2.4, (Use 3 digits after decimal point) 95% CI for e is [ с. Which of the two intervals derived previously is shorter?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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