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mkumar441
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An urn contains one black ball and three white balls. Four balls are drawn from the urn.Let ik = 1 if the outcome of the kth draw is black and ik = 0 if the outcome of the kth ballis white. Define the three random variables:X = i1+i2+ i3+i4;
Y = min i1; i2; i3; i4;Z = max i1; i2; i3;i4;
W =i1:(a) Find the probability law for (X; Y;Z) if each ball is put back into the urn after each
draw.(b) Find the probability law for (X; Y;Z) if each ball is not put back into the urn aftereach draw.
(c) Find the conditional probability laws for every variable in (X; Y;Z) given the possible
value
 one year ago
 one year ago
mkumar441 Group Title
An urn contains one black ball and three white balls. Four balls are drawn from the urn.Let ik = 1 if the outcome of the kth draw is black and ik = 0 if the outcome of the kth ballis white. Define the three random variables:X = i1+i2+ i3+i4; Y = min i1; i2; i3; i4;Z = max i1; i2; i3;i4; W =i1:(a) Find the probability law for (X; Y;Z) if each ball is put back into the urn after each draw.(b) Find the probability law for (X; Y;Z) if each ball is not put back into the urn aftereach draw. (c) Find the conditional probability laws for every variable in (X; Y;Z) given the possible value
 one year ago
 one year ago

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