Professor Yang surveys her students and concludes that 30% is the probability that a student has passed at least one actuarial exam (AE). Professor Ho does not think that this survey is representative of a random sample of 20 actuarial students. After surveying more students, he determines a probability function, (0.01, Pr (H = n) = {0.04 , n = 0 n = 1 k. Pr (Y = n), n = 2, 3, ... , 20 where H and Y refer to the number of students that have passed at least one AE, from a sample of 20, based on Professor Ho's and Professor Yang's analyses, respectively. Based on Professor Ho's conclusion, find the expected number of students out of a sample of 20 who have passed at least one AE.

Professor Yang surveys her students and concludes that 30% is the probability that a student has passed at least one actuarial exam (AE). Professor Ho does not think that this survey is representative of a random sample of 20 actuarial students. After surveying more students, he determines a probability function, (0.01, Pr (H = n) = {0.04 , n = 0 n = 1 k. Pr (Y = n), n = 2, 3, ... , 20 where H and Y refer to the number of students that have passed at least one AE, from a sample of 20, based on Professor Ho's and Professor Yang's analyses, respectively. Based on Professor Ho's conclusion, find the expected number of students out of a sample of 20 who have passed at least one AE.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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