Overall 5 of the students that apply to Carls School of Busi

Overall, 5% of the students that apply to Carl\'s School of Business get accepted. In a random group of 20 applicants, what is the probability that more than 3 are accepted?

Given X follows Binomial distribution with n=20 and p=0.05

P(X=x)=20Cx*(0.05^x)*(0.95^(20-x)) for x=0,1,2,...,20

So the probability is

P(X>3) = 1-P(X=0)-P(X=1)-P(X=2)-P(X=3)

=1-20C0*(0.05^0)*(0.95^(20-0))-....-20C3*(0.05^3)*(0.95^(20-3))

=0.01590153

$Overall, 5% of the students that apply to Carl\'s School of Business get accepted. In a random group of 20 applicants, what is the probability that more than 3$

Overall 5 of the students that apply to Carls School of Busi

Solution

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