Consider transmitting a bit over a communication channel. The bit is transmitted
ID: 3176901 • Letter: C
Question
Consider transmitting a bit over a communication channel. The bit is transmitted correctly with probability 1 -p =0.9, or it is switched with probability p=0.1. Assume that the sender is equally likely to send either bit 0 or 1. When the receiver sees bit 1, it is more likely that the sender sent bit 1 (rather than bit 0). True False b. Assume that the sender chooses bit 0 with prob. 0.99 and bit 1 with prob. 0.01. When the receiver sees bit 1, it is more likely that the sender sent bit 1 True FalseExplanation / Answer
a) true
b) probabilty of receiver sees 1 =P(R1) =sender send 0 and received 1+sender send 1 and receiver receives 1
=0.99*0.1+0.01*0.9=0.108
hence probabilty that sender sent 1, given received 1 =0.01*0.9/0.108=0.0833
as above probability is less then 0.5
hence false