SOLUTION: The random variable x represents the number of boys in a family of three children. Assuming the boys and girls are equally likely, (a) construct a probability distribution, and (b)

Question 73622This question is from textbook Elementary Statistics
: The random variable x represents the number of boys in a family of three children. Assuming the boys and girls are equally likely, (a) construct a probability distribution, and (b) graph the distribution. This question is from textbook Elementary Statistics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The random variable x represents the number of boys in a family of three children. Assuming the boys and girls are equally likely,
(a) construct a probability distribution,
P(x=0)=3C0(1/2)^0*(1/2)^3=1/8
P(x=1)=3C1(1/2)^1(1/2)^2 = 3*1/8 = 3/8
P(x=2)=3C2(1/2)^2(1/2)^1 = 3*1/8 = 3/8
P(x=3)=3C3(1/2)^3(1/2)^0 = 1*(1/2)^3*(1/2)^0 = 1/8
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and (b) graph the distribution.
Can't do this on this site.
I recommend you draw a histogram:
4 bars; each one above 0,1,2,3
above 0 height = 1/8
above 1 height = 3/8
above 2 height = 3/8
above 3 height = 1/8
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Cheers,
Stan H.

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Cheers,
Stan H.

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