Suppose that three random variables X1, X2, and X3 have a mixed joint distribution with p.f./p.d.f.:

(Notice that X1 has a continuous distribution and X2 and X3 have discrete distributions.) Determine
(a) The value of the constant c.
(b) The marginal joint p.f. of X2 and X3.
(c) The conditional p.d.f. of X1 given X2 = 1 and X3 = 1.

Transcribed Image Text:

fexi, x2. x3) and x2. 3 E 10, 1 otherwise 0