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3 Minimum of IID exponentials Let Z1...., Zn be IID exponential random variables with mean 8. That is, each Zi has a PDF given by: $(=) = exp(-/B1, where 2 and 8 are positive.
Derive the probability density function for min(Z.....2) (ie, the minimum of random variables 21,..., Zn). You should find that the probability density function for min(21..., Zn) is that of an expo nential random variable. What is the mean of min(2...., 2..)?
3 Minimum of IID exponentials Let Z1...., Zn be IID exponential random variables with mean 8. That is, each Zi has a PDF given by: $(=) = exp(-/B1, where 2 and 8 are positive.
Derive the probability density function for min(Z.....2) (ie, the minimum of random variables 21,..., Zn). You should find that the probability density function for min(21..., Zn) is that of an expo nential random variable. What is the mean of min(2...., 2..)?
gem505Lv10
22 Jan 2023
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