Question
Choose a number X at random from the set of numbers {1,2,3,4}. Now choose a number at random from the subset no larger than X,
Choose a number X at random from the set of numbers {1,2,3,4}. Now choose a number at random from the subset no larger than X, that is, from {1,...,X}. Call this second number Y .
(a) Find the joint mass function of X and Y . (b) Find the conditional mass function of X given that Y = i. Do it for i = 1, 2, 3, 4.
(c) Are X and Y independent? Why?
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Probability and Random Processes With Applications to Signal Processing and Communications
Authors: Scott Miller, Donald Childers
2nd edition
123869811, 978-0121726515, 121726517, 978-0130200716, 978-0123869814
