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Given that the probability density function of an exponential distribution is 1 f) X. B f(x) = 718, x>0. =e 9 (i) Show t
Posted: Wed May 11, 2022 7:17 am
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- Given That The Probability Density Function Of An Exponential Distribution Is 1 F X B F X 718 X 0 E 9 I Show T 1 (31.43 KiB) Viewed 22 times
Given that the probability density function of an exponential distribution is 1 f) X. B f(x) = 718, x>0. =e 9 (i) Show that the moment generating function of an exponential distribution is Mx (t)=(1- Bt)'. (6 marks) (ii) Hence, show that the mean of an exponential distribution is ß. (4 marks)