Please help answer a & b. I will reward points Given that x is a hypergeometric random variable with N = 12, n = 8, and r = 6: Display the probability distribution for x in tabular form. Compute mu and sigma for x. Solution (a) P(X=x)=xCr * (n-x)C(N-r)/nCN =xC6*(8-x)C(12-6) / 8C12 (b) mu=n*r/N = 8*6/12 =4 o=sqrt(n*(r/N) *((N-r)/N) * ((N-n)/(N-1))) =sqrt(8*(6/12)* ((12-6)/12) *(12-8)/(12-1)) =0.8528029.

1. Please help answer a & b. I will reward points Given that x is a hypergeometric random variable
with N = 12, n = 8, and r = 6: Display the probability distribution for x in tabular form.
Compute mu and sigma for x.
Solution
(a) P(X=x)=xCr * (n-x)C(N-r)/nCN
=xC6*(8-x)C(12-6) / 8C12
(b) mu=n*r/N = 8*6/12 =4
o=sqrt(n*(r/N) *((N-r)/N) * ((N-n)/(N-1)))
=sqrt(8*(6/12)* ((12-6)/12) *(12-8)/(12-1))
=0.8528029