Question 1 i=1 Let & be a random number selected at random from the interval [0, 1], and its density function is (0.5, f

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Question 1 I 1 Let Be A Random Number Selected At Random From The Interval 0 1 And Its Density Function Is 0 5 F 1 (13.93 KiB) Viewed 89 times

Question 1 i=1 Let & be a random number selected at random from the interval [0, 1], and its density function is (0.5, for& in (0,0.5) f(3) = { 1.5, for & in (0.5,1]" Let be bi bz ... be the binary expansion of&: b;2-where b; e {0, 1}. Define the discrete time stochastic process as X.na = bn n = 1,2,... The resulting process a sequence of binary number, with Xn equal to the rith number in the binary expansion of (a) Find the pmfs of X, and X, (b) Find the joint pmf of X, and Xz/ (c) Are X, and X, are independent? >