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Suppose Z~ N(0,1) and Y = e². (a) Find the cdf Fy(a) and pdf fy(y) for Y. (For the CDF, the best you can do is write it in terms of the standard normal cdf.) (b) We don't have a formula for $(z) so we don't have a formula for quantiles. So we have to write quantiles in terms of -¹. (i) Write the 0.33 quantile of Z in terms of -1 (ii) Write the 0.9 quatntile of Y in terms of -¹. (iii) Find the median of Y.

Suppose Z~ N(0,1) and Y = e². (a) Find the cdf Fy(a) and pdf fy(y) for Y. (For the CDF, the best you can do is write it in terms of the standard normal cdf.) (b) We don't have a formula for $(z) so we don't have a formula for quantiles. So we have to write quantiles in terms of -¹. (i) Write the 0.33 quantile of Z in terms of -1 (ii) Write the 0.9 quatntile of Y in terms of -¹. (iii) Find the median of Y.

MATLAB: An Introduction with Applications
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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Suppose Z~ N(0,1) and Y = e². (a) Find the cdf Fy(a) and pdf fy(y) for Y. (For the CDF, the best you can do is write it in terms of the standard normal cdf.) (b) We don't have a formula for $(z) so we don't have a formula for quantiles. So we have to write quantiles in terms of -¹. (i) Write the 0.33 quantile of Z in terms of -1 (ii) Write the 0.9 quatntile of Y in terms of -¹. (iii) Find the median of Y.
Transcribed Image Text:Suppose Z~ N(0,1) and Y = e². (a) Find the cdf Fy(a) and pdf fy(y) for Y. (For the CDF, the best you can do is write it in terms of the standard normal cdf.) (b) We don't have a formula for $(z) so we don't have a formula for quantiles. So we have to write quantiles in terms of -¹. (i) Write the 0.33 quantile of Z in terms of -1 (ii) Write the 0.9 quatntile of Y in terms of -¹. (iii) Find the median of Y.
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