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Let J 0 , J 1 ,. . . , J 4 independent random variables according to the Ber (r i ) law, where i

Let J0, J1,. . . , J4 independent random variables according to the Ber (ri) law, where i = 0, 1,. . . , 4, respectively.

We define the random variables Xi = min {J0 + Ji, 1}, for i = 1, 2, 3

(a) Find the law of Xi , for each i = 1, 2, 3, 4.

(b) Find the law of (X1, X2, X3, X4).

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