A computer receives input over a faulty connection For a par

A computer receives input over a faulty connection. For a particular transmission, 70% of the bits sent consists of 0’s; the rest are 1’s. You can assume that each bit of data is independent of each other bit. The 0’s have a 90% chance of being received correctly; the 1’s have a 92% chance of being received correctly. Anything which is not received correctly is received as the other number.

a) Overall, what percent of the data is received as a 1?

b) What is the chance that a 0 is received OR a 1 is sent?

c) For a given set of 10 bits, what is the chance that exactly 3 bits sent are 1’s?

d) Given that a 1 is received, what is the chance that a 1 was sent?

Solution