SOLUTION: 48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability tha

Algebra ->  Probability-and-statistics -> SOLUTION: 48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability tha      Log On


   



Question 263351: 48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan.
Find the probability that the number of men that consider themselves baseball fans is
(a) exactly eight
(b) at least eight
(c) less than eight)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan.
Find the probability that the number of men that consider themselves baseball fans is ?
---
Binomial Problem with n = 10 and p = 0.48

(a) exactly eight
P(x=8)= 10C8(0.48)^8(0.52)^2 = 0.03429
------------------------
(b) at least eight
P(x>=8) = 1 - P(x<8) = 1-0.9580 = 0.0420
------------------------
(c) less than eight
P(x<8) = binomcdf(10,0.48,7) = 0.9580
------------------------
Cheers,
Stan H.