October 6th, 2022
(17) A recent study following attrition rates at a major university has shown that 43% of all incoming freshmen do not graduate within 4 years of entrance. If 200 freshmen are randomly sampled this year and their progress is followed, what is the probability that 100 or less will not graduate within the next 4 years. Verify that the nominal distribution can be used to approximate the binomial distribution in this situation.
Convert the binomial probability P(x < 100) to a normal probability by using the correction for continuity, and then find P(x <= 100) .