Let (X1, X2, X3, X4) be Multinomial(n, 4, 1/6, 1/3, 1/8, 3/8). Derive the joint mass function of the pair (X3, X4). You should b
e able to do this with almost no computation.
1 answer:
Answer:
The random variables in this case are discrete since they have a Multinomial distribution.
The probability mass function for a discrete random variable X is given by:
Where are are possible values of X.
The joint probability mass function of two discrete random variables X and Y is defined as
P(x,y) =P(X=x,Y=y).
It follows that, The joint probability mass function of is :
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