Reference no: EM132461977

Suppose that x has a binomial distribution with n = 200 and p = 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.)

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

np= 88

n(1 - p)= 112

(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 = 80) =

2.P (x ≤ 98) =

3.P (x < 72) =

4.P (x ≥ 104) =

5.P (x > 103) =