Question

According to a gallup poll conducted in 2015 65% of americans are sports fans. If we...

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?

Math   Statistics-And-Probability   
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Answer #1

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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