Suppose you toss a fair coin 10 times.
(a) Calculate the probability of getting at least 6 heads, usingthe exact distribution.
(b) Now repeat the calculate above, but approximate theprobability using a normal random variable. Do your calculationboth with and without the histogram correction. Which one is closerto the true answer?
Now suppose you toss a fair coin 1000 times.
(c) What is the probability of getting at least 520 heads? Youcan approximate this using a normal with the appropriate mean andvariance. Do this with and without the histogram correction. (Doesit matter if you use this correction?)
(d) What is the probability of getting at least 600 heads?Calculate this however you want.
