A 56-question multiple choice test has 4 possible answers for each question and a student chooses the answers to each problem at random. A student selects 16 correct answers. Find the probabilityof the result using the normal curve approximation to the binomialdistribution.

First let us give the answer in terms of the original binomial distribution:

n is the total number of questions=56

p=probability of guessing right=1/4

q=probability …

This shows how to find the probability in a given situation using the normal curve approximation to the binomial distribution.