An ordinary sixsided die is rolled 12 times If X1 is the num

An ordinary six-sided die is rolled 12 times. If X1 is the number of l\'s, X2 is the number of 2\'s, and so on, give the probability for each of the following events: (a) [X1=2, X2=3, X3=l, X4=O, X5=4, X6=2]. (b) [X5 = X2 = X3 = X4 = X5 = X6]. (c) [X1=1,X2=2,X3=3,X4=4]. (d) Write an expression for the joint pdf of X1, X3, and X5.

Solution

An ordinary six-sided die is rolled 12 times. If X1 is the number of l\'s, X2 is the number of 2\'s, and so on, give the probability for each of the following e

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