Problem: Packets of size 20,000 bytes are transmitted over a link which has a bit error rate of 10-8. Assume that errors in different bits of a packet are independent. For each part below, first provide an exact expression for the probability and then compute its numeric value specified as a decimal number in scientific notation with at least 6 digits of precision.
a) What is the probability that a packet is received with no errors?
b) What is the probability that it is received with exactly one bit in error?
c) What is the probability that it is received with at least one bit in error?
d) What is the probability that it is received with two or more bits in error?