Question 910033: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. If 15 men are randomly selected for a study of traffic signal perceptions, find the probability that between 1 and 3 inclusive of them have this type of color blindness.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. If 15 men are randomly selected for a study of traffic signal perceptions, find the probability that between 1 and 3 inclusive of them have this type of color blindness.
------------------
Binomial Problem with n = 15 and p(cb) = 0.09
----
P(1<= x <=3)
= 15C1(0.09)(0.91)^14 + 15C2(0.09)^2(0.91)^13 + 15C3(0.09)^3(0.91)^12
= binomcdf(15,0.09,3)-binomcdf(15,0.09,1)
= 0.7171
===============
Cheers,
Stan H.
===============
|
|
|
