A toy manufacturing company tests the quality of the toys it manufactures. On a daily basis, 20 toys are taken at random for testing and to check that 95% meet the toy specification. The day's production will be accepted provided that no more than 2 toys fail to meet the specification standard.

n=20

Success(P)=0.75

Failure(Q)=0.25

=(^20 C 19)(0.75)^19(0.25)^20−19

=0.0211

The result seems lower than what I would expect. Where have I gone wrong?

Thanks.