Suppose that X has a binomial distribution with n=201 and p=0.49. Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x.

1. np = ?
2. n(1-p) = ?

Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability.

1. P(x=82)
2. P(x<=99)
3. P(x<74)
4. P(x>=100)
5. P(x>104)