SOLUTION: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly se

Algebra ->  Probability-and-statistics -> SOLUTION: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly se      Log On


   



Question 765505: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly selected , what is the probability that at least one fails?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and 47 had an F.
Students need a C or higher to pass.
If three students are randomly selected , what is the probability that at least one fails?
---
Binomial Problem with n = 3 and P(pass) = (65+113+184)/469 = 0.772
------
P(at least one of 3 fails) = 1 - P(all 3 pass) = 1-(0.772)^3 = 0.5402
=====================
Cheers,
Stan H.
=====================