SOLUTION: Colour Blue Brown Green Orange Red Yellow Probability 0.12 0.22 0.16 0.14 0.22 0.14 If you randomly select 15 m&m's, what is the probability that less tha

Algebra ->  Probability-and-statistics -> SOLUTION: Colour Blue Brown Green Orange Red Yellow Probability 0.12 0.22 0.16 0.14 0.22 0.14 If you randomly select 15 m&m's, what is the probability that less tha      Log On


   

Question 770803: Colour Blue Brown Green Orange Red Yellow
Probability 0.12 0.22 0.16 0.14 0.22 0.14
If you randomly select 15 m&m's, what is the probability that less than three of them are green?
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
The formula needed is P(X=r)=nC%5Br%5Dp%5Erq%5E%28n-r%29
where nC%5Br%5D = n%21%2F%28r%21%28n-r%29%21%29
P(X<3)
=P(X=0)+P(X=1)+P(X=2)
=[15C%5B0%5D%280.16%5E0%29%280.84%5E%2815-0%29%29]+[15C%5B1%5D%280.16%5E1%29%280.84%5E%2815-1%29%29]+[15C%5B2%5D%280.16%5E2%29%280.84%5E%2815-2%29%29]
=[1%2A1%280.84%5E15%29]+[15%2A0.16%280.84%5E14%29]+[105%2A0.16%5E2%280.84%5E13%29]
=0.07315%2B0.2090%2B0.2787
=0.5609