SOLUTION: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population prefers the color red. If 18 buyers are randomly selected,

Algebra ->  Probability-and-statistics -> SOLUTION: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population prefers the color red. If 18 buyers are randomly selected,       Log On


   



Question 866946: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population
prefers the color red. If 18 buyers are randomly selected, what is the probability that exactly 15 buyers would prefer red?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population
prefers the color red. If 18 buyers are randomly selected, what is the probability that exactly 15 buyers would prefer red?
------
Binomial Problem with n = 18 and P(red) = 0.60
----
P(x = 15) = 18C15*(0.6)^15*(0.4)^3 = binompdf(18,0.6,15) = 0.0246
----------------------
Cheers,
Stan H.
====================