A communication network transmits binary digits, 0 to 1, where each digit is transmitted 10 times in succession. During each transmission, there is a...

A communication network transmits binary digits, 0 to 1, where each digit is transmitted 10 times in succession. During each transmission, there is a 0.995 probability of accurate transmission. 1) Construct the transition matrix. 2) What is the probability of a digit entering the network will be recorded accurately after the last transmission? Assume the probability of an accurate transmission per digit has improved to 0.998, 3) Find the new probability for question 2.