During the university application season, since some of the admitted students ma

Question

During the university application season, since some of the admitted students may decide to pursue other opportunities, the admissions committee typically admits more students than the ideal class size of 84 students. It is estimated that in the coming year the number of people who will not accept the admission o?er is normally distributed with mean 6 and standard deviation 3. Suppose for now that the school does not maintain a waiting list, that is, all students are accepted or rejected. Suppose 88 students are admitted. What is the probability that the class size will be at least 84 students?*

Explanation / Answer

Z = X -u / Sigma

X Value being standadarised

u Mean

Atleast class size 84 it means maximum students who will not accept is 4

Z = 4- 6 / 3

Z = - 1.5

For given Z value of - 1.5 Probability = 0.067

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