SOLUTION: It is known that 20% of all the residents that take the FL DL test for the first time fail it. Suppose that 15 people on a given day are taking the test for the first time. What is

Algebra ->  Probability-and-statistics -> SOLUTION: It is known that 20% of all the residents that take the FL DL test for the first time fail it. Suppose that 15 people on a given day are taking the test for the first time. What is      Log On


   



Question 426480: It is known that 20% of all the residents that take the FL DL test for the first time fail it. Suppose that 15 people on a given day are taking the test for the first time. What is the probability that exactly 5 people fail it? At least one person fails the test?
Binomial Distibution

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=combination of n things taken r at a time. Find the coefficient for a certain binomial expansion.
p=.8, f=.2
1-.8^15=.9648 probability that at least one person fails the test.
.
15C5*f^5p^10
=3003*f^5p^10
=.1032 probability that exactly 5 people fail.
.
Ed