Tutorial3 - EE 3008. Random Process Tutorial Questions Q1)...

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EE 3008. Random Process Tutorial Questions Q1) A coin is to be tossed three times. What is the probability that there will be two heads and one tail. Q2) Given that the random variable X has density function 2 0 1 () 0 otherwise x <x< fx = Find Pr(0.5<x<3/4) and Pr(-0.5<x<0.5). Q3) Find the mean value and the variance of a random variable X that is uniformly distributed over the interval [1,4]. Q4) A signal can take any value between 0 and A/2 with equal probability. What is its mean value and average power? Q5) A signal can take any value between -A/2 and A/2 with equal probability. What is its mean value and average power? Q6) Consider a base-band communication system. Let the transmission variable x have two equally probable values: x = 1 representing 0 and x= 1 representing 1. The received signal is y = x + n where n is the noise variable. Denote by
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