SOLUTION: there is a group of 50 people who are patriotic out of which 20 believe in non violence.two persons are selected at random out of them.write the probability distribution for the se

Question 710141: there is a group of 50 people who are patriotic out of which 20 believe in non violence.two persons are selected at random out of them.write the probability distribution for the selected persons who are nonviolent.also find the mean of the distribution.
can i find p(x=0)=P(n'n')=3/5*3/5=9/25
or it should be p(x=0)=30/50*29/49=87/245

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
there is a group of 50 people who are patriotic out of which 20 believe in non violence.two persons are selected at random out of them.write the probability distribution for the selected persons who are nonviolent.also find the mean of the distribution.
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For this sample of 50 P(believe) = 20/50 = 2/5
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Binomial problem with n = 2 and p(believe) = 2/5
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P(x = 0) = (3/5)^2 = 9/25
P(x = 1) = 2C1(2/5)(3/5) = 2(6/25) = 12/25
P(x = 2) = (2/5)^2 = 4/25
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mean = np = 2(2/5) = 4/5
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Cheers,
Stan H.
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