normal distribution

Question

suppose 16 coins are tossed. find the probability of getting the following result using the binomial probability formula and the normal curve approximation.

exactly 4 heads.

use the table of areas under the standard normal curve given below.

binomial probability = _.

(round to 4 decimal places.)

Answer 1

P(4,16,1/2) = C(16,4)(1/2)⁴(1 - 1/2)^{16 - 4} = C(16,4)(1/2)¹⁶ = 0.02777;

Using Table we have P(4, 16, 1/2) = 0.0280