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.

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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.
Transcribed Image Text: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.
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