According to a gallup poll conducted in 2015 65% of americans are sports fans. If we randomly selected 4 americans what is the probability?
All four are sports fans?
None of the four are sports fans?
At least one is not sports fan?
At least one is a sports fan?
Solution:- Given that information n = 4, p =0.65
a) P(X = 4) = 4C4*0.65^4*0.35^0 = 0.1785
b) P(X = 0) = 4C0*0.65^0*0.35^4 = 0.0150
c) 1 - P(X = 4) = 1 - 0.1785 = 0.8215
d) P(X >= 1) = 1 - P(X = 0) = 1 - 0.0150 = 0.9850
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