Suppose a die is cast 10 times. Let X1 be the number of terminations in the set {1, 2}, X2 be the number of terminations in the set {3}, X3 be the number of terminations in the set {4}, and X4 be the number of terminations in the set {5, 6}. (a) Find the joint pmf of X1, X2, X3. (b) Find the joint pmf of X3 and X4. (c) Find the conditional pmf of X2, given that X1 = 2.
Suppose a die is cast 10 times. Let X1 be the number of terminations in the set {1, 2}, X2 be the number of terminations in the set {3}, X3 be the number of terminations in the set {4}, and X4 be the number of terminations in the set {5, 6}. (a) Find the joint pmf of X1, X2, X3. (b) Find the joint pmf of X3 and X4. (c) Find the conditional pmf of X2, given that X1 = 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 16E
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Suppose a die is cast 10 times. Let X1 be the number of terminations in the set {1, 2}, X2 be the number of terminations in the set {3}, X3 be the number of terminations in the set {4}, and X4 be the number of terminations in the set {5, 6}.
(a) Find the joint pmf of X1, X2, X3.
(b) Find the joint pmf of X3 and X4.
(c) Find the conditional pmf of X2, given that X1 = 2.
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