Let X and Y be two random variables with joint probability mass function:
(?,?) = (??(3+?))/(18*3+30)??? ?=1,2,3 ??? ?=1,2
(?,?) = 0, Otherwise.
Please enter the answer to 3 decimal places.
and
Let X and Y be two random variables with joint probability mass function:
(?,?) = (??(4+?))/(18*4+30)??? ?=1,2,3 ??? ?=1,2
(?,?) = 0, Otherwise.
Please enter the answer to 3 decimal places.
Please show work/give explanation
1)P(X>Y)=P(X=2,Y=1)+P(X=3,Y=1)+P(X=3,Y=2)=2*1*(3+1)/84+3*1*(3+1)/84+3*2*(3+2)/84=0.595
2)P(Y=2|X=1)=P(X=1,Y=2)/P(X=1)=0.117647/0.1666667=0.706
Let X and Y be two random variables with joint probability mass function: (?,?) = (??(3+?))/(18*3+30)???...
The joint probability mass function of random variables X and Y is given by if x1 = 1,2; x2 = 1,2 p(x1, x2) = { otherwise (a) Specify the probability mass function of X1 and X2. (b) Are X1 and X2 independent? Are they identically distributed? Explain. (C) Find the probability of the event that X1 + 2X2 > 3. (d) Find the probability of the event that X1 X2 > 2.
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