Exercise 6.40 METHODS AND APPLICATIONS

Suppose that x has a binomial distribution with n = 200 and p = 0.42. (Round np and n(1-p) answers to 2 decimal places. Round youranswers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value () to 4 decimal places.)

(a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x

np
n(1 p)

Both np and n(1 p) > or < 5

(b) Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability:

1.	P (x = 79)
2.	P (x 98)
3.	P (x < 77)
4.	P (x 105)
5.	P (x > 104)