Overall, The Great Soothsayer gets 34% of his coin-toss predictions correct (that is, the probability that he gets any given coin-toss prediction correct is .34).

(a) One day, he makes 60 predictions. What is the probability that he gets exactly 28

correct?

(b) Over the course of one week, he makes 230 predictions. What is the probability that he gets 85 or more correct?

Now, every day for eternity The Great Soothsayer makes 100 predictions, and records the number he gets correct.

(c) Find the mean , and the standard deviation , of the numbers (of predictions he gets correct

on different days) that The Great Soothsayer records.