Answer to Question #343258 in Statistics and Probability for ton

Question #343258

Say 40% of the class is female. What is the probability that 6 of the first 10 students walking in will be female?



1
Expert's answer
2022-05-23T23:34:36-0400

 Let X=X= the number of female: XBin(n,p).X\sim Bin (n, p).

Given n=10,p=0.4,q=1p=0.6.n=10, p=0.4, q=1-p=0.6.



P(X=6)=(106)(0.4)6(0.6)106=0.111476736P(X=6)=\dbinom{10}{6}(0.4)^6(0.6)^{10-6}=0.111476736

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