Problem 1. You pick a bit string from the set of all bit strings of length 10. (a) What is the probability that the bit string has 0 as its 4th element? (b) What is the probability that the bit string begins with 1010? (c) What is the probability that the bit string has exactly three 1s given that the string begins with a 1? (d) What is the probability that the bit string has fewer 0s than Is? (e) What is the probability that the sum of the digits in the string is 4