The random variables X1,..., Xn are independent and identically distributed with probability function PX (1 – Px)'-, x = 0, 1, 0, while the random variables Y1,.,Yn are independent and identically distributed with proba- Sx (2) = { P* (1 – px)"*, 0,1, otherwise, bility function )p% (1 – py)*-", y = 0, 1, 2, 0, where px and py are betwecn 0 and 1. Show that the maximum likelihood estimators (MLES) 2-y fy (y) = otherwise,

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Q: The probability distribution of X = [X1, X2, ..., X,]' is given by the joint PDF f (x) = (27)¯P/2…

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Q: 3) Let X₁, X₂, X, be mutually independent and identically distributed exponential random variables…

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A: a) The required value is calculated as follows: fx=ddxFx      =ddxx24     =2x4     =x2…

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