Test has 200, 4 answer multiple choice questions (1 answer each). If you take the test by guessing the answer to every question on it entirely at random, what is the probability that you would get at least 58 questions correct? to the nearest .01

using the normal approximation

Expected value = 200 *1/4 = 50

variance = 200 * 1/4 *3/4 = 150/4 = 37.5

Z-score = (58 - 50)/SQR 37.5 = 1.306

We want P(Z=>1.306) = 1- 0/9 =0.1

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