SOLUTION: In Florida, 40% of the people have blood type b. what is the probability that exactly 5 out of a randomly selected group of 15 Floridians will have that blood type B? If boys

Question 311878:
In Florida, 40% of the people have blood type b. what is the probability that exactly 5 out of a randomly selected group of 15 Floridians will have that blood type B?
If boys and girls are equally likely to be born, what is the probability that in a randomly selected family of four children, there will be 1 boy?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In Florida, 40% of the people have blood type b. what is the probability that exactly 5 out of a randomly selected group of 15 Floridians will have that blood type B?
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Binomial Problem with n = 15 ; p = 0.4
P(x=5) = 15C5*0.4^5*0.6^10 = binompdf(15,0.4,5) = 0.1859
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If boys and girls are equally likely to be born, what is the probability that in a randomly selected family of four children, there will be 1 boy?
Binomial with n = 4 ; p = 1/2
P(x=1) = 4C1*(1/2)*(1/2)^3
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P(x=1) = 4/2^4 = 4/16 = 1/4
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Cheers,
Stan H.

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