Let X1, ..., Xn be independent uniform rvs on the interval (0, 1). a. What are the mean u and the sd o of a uniform rv on the interval (0, 1)? X-u b. How large does n need to be before the pdf of is approximately that of a standard normal rv? (Nete: there is no fright" answer as it onondo by fappreximotoly " Vou should try
Let X1, ..., Xn be independent uniform rvs on the interval (0, 1). a. What are the mean u and the sd o of a uniform rv on the interval (0, 1)? X-u b. How large does n need to be before the pdf of is approximately that of a standard normal rv? (Nete: there is no fright" answer as it onondo by fappreximotoly " Vou should try
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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![Let X1,..., Xn be independent uniform rvs on the interval (0, 1).
a. What are the mean u and the sd o of a uniform rv on the interval (0, 1)?
b. How large does n need to be before the pdf of is approximately that of a standard normal rv?
(Note: there is no “right" answer, as it depends on what is meant by "approximately." You should try
various values of n until you find the lowest one where the estimate of the X distribution is still close to
standard normal.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb9da028-c1e8-4fb4-9df2-7f4287e8030e%2Fff0b25da-db50-475c-aa15-e0535add5bf8%2F20dj8sx_processed.png&w=3840&q=75)
Transcribed Image Text:Let X1,..., Xn be independent uniform rvs on the interval (0, 1).
a. What are the mean u and the sd o of a uniform rv on the interval (0, 1)?
b. How large does n need to be before the pdf of is approximately that of a standard normal rv?
(Note: there is no “right" answer, as it depends on what is meant by "approximately." You should try
various values of n until you find the lowest one where the estimate of the X distribution is still close to
standard normal.)
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