Let X, Y, Z CU. If Pr(X) = 0.18, Pr(Y) = 0.37, Pr(Z) = 0.46, Pr(X n Y) = 0.09, Pr(X nZ) = 0.1, Pr(Y n Z) = 0.21, and Pr(X n Y n Z) = 0.05, find the following values: 1. Pr(X' n YnZ'). 2. Pr(X' n (Y U Z')). 3. Pr(X'). 4. Pr(X' U YUZ').

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let X, Y, Z CU. If Pr(X) = 0.18, Pr(Y) = 0.37, Pr(Z) = 0.46, Pr(X n Y) = 0.09, Pr(X nZ) = 0.1,
Pr(Y n Z) = 0.21, and Pr(X n Y n Z) = 0.05, find the following values:
1. Pr(X' n YnZ').
2. Pr(X' n (Y U Z')).
3. Pr(X').
4. Pr(X' U YUZ').
Transcribed Image Text:Let X, Y, Z CU. If Pr(X) = 0.18, Pr(Y) = 0.37, Pr(Z) = 0.46, Pr(X n Y) = 0.09, Pr(X nZ) = 0.1, Pr(Y n Z) = 0.21, and Pr(X n Y n Z) = 0.05, find the following values: 1. Pr(X' n YnZ'). 2. Pr(X' n (Y U Z')). 3. Pr(X'). 4. Pr(X' U YUZ').
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