Question 1 Let 3 be a random number selected at random from the interval [0, 1], and its density function is 10.5, for i

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Question 1 Let 3 Be A Random Number Selected At Random From The Interval 0 1 And Its Density Function Is 10 5 For I 1 (31.53 KiB) Viewed 95 times

Question 1 Let 3 be a random number selected at random from the interval [0, 1], and its density function is 10.5, for in [0,0.5) f(3) = 11.5, for čin (0.5,1]. Let be b_b... be the binary expansion of }: >= :2-1 where b; € {0, 1}. Define the discrete time stochastic process as Xn= bn , n=1,2,... The resulting process a sequence of binary number, with Xn equal to the nth number in the binary expansion of (a) Find the pmfs of X, and X2 (b) Find the joint pmf of X and X2 (c) Are X, and X, are independent?