A student just took a test with 25 multiple choice questions on it. Suppose he/she was not well prepared and decided to choose the answers by random guessing. Each question had 4 possible choices with only one

being the right choice. The teacher says that to pass the test you need to answer at least 17 out of 25 questions correctly. What is the probability of passing the test by random guessing?

(a) Solve this using the binomial model.

(b) Solve this using the normal approximation to binomial model. Be sure to apply continuity correction