In: Statistics and Probability
Suppose we roll two fair dice. Let D1 be the random variable that denotes the value of the first dice and D2 the sum of the numbers of both dice.
a) Calculate the joint mass function of D1 and D2.
b) Calculate the conditional mass function of D1 given D2 =
d2.
c) Calculate the conditional mass function of D2 given D1 =
d1.
d) Are the variables D1 and D2 independent? Argue your answer.