SOLUTION: Suppose an unfair coin comes up heads 30.9% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: a) it comes up heads exactly 9 times? b)

Question 880822: Suppose an unfair coin comes up heads 30.9% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that:
a) it comes up heads exactly 9 times?
b)it comes up tails more than 11 times?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose an unfair coin comes up heads 30.9% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that:
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Binomial Problem with p(heads) = 0.309 and p(tails) = 0.691
a) it comes up heads exactly 9 times?
P(x = 9) = 14C9*(0.309)^9*(0.691)^5 = binompdf(14,0.301,9) = 0.0068
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b)it comes up tails more than 11 times?
P(12<= x <=14) = 1 - P(0<= x <=11) = 1 - binomcdf(14,0.691,11) = 0.1140
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Cheers,
Stan H.
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