A file contains 1Kbytes (i.e. 1000 bytes). The probability that there exists at least one corrupted byte is 0.01. The probability that at least two bytes are corrupted is 0.005. Let the outcome of the experiment be the number of bytes in error. a) Define the sample space. b) Find the probability of no errors. c) Find the probability of exactly one byte in error. d) Find the probability of at the most one byte is in error.