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tutorial7 - Ex.1 THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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Unformatted text preview: Ex.1 THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT 1301 PROBABILITY AND STATISTICS I EXAMPLE CLASS 7 If X is the number of heads obtained in four tosses of a balanced coin, find the probability distribution of (a) ; (b) 2. Ex.2 Suppose that ~Beta 2,2 , then its pdf is given by f 3. 61 ,0 1. Find the pdf of Ex.3 Suppose Z~N(0,1), find the probability of ; (a) (b) ; | |. (c) Ex.4 Let X be a random variable with pdf given by f , 0 (a) Find the value of c. (b) Find the hazard rate function of X. (c) Let ln . Find the pdf of Y. ∞. ...
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