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4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe Y in words. What is Py (y)? Find E[Y] and Var[Y ]
![4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe Y in words. What is Py (y)? Find E[Y] and Var[Y ]](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/05/4-1.png?w=1170&ssl=1 "4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe Y in words. What is Py (y)? Find E[Y] and Var[Y ]")
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