1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.

1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.

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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Question

1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10.
(a) Compute P(AC).
(b) Compute P(AUB).
(c) Compute P(A | B).
(d) Compute P(B | A).
(e) Compute P(B | AC).
(f) Are A and B independent? Explain.
(g) Are A and B mutually exclusive? Explain.

Expert Solution

Step 1

As per our guidelines we are suppose to answer only three sub parts.

$G i v e n, P (A) = \frac{4}{10} P (B) = \frac{5}{10} P (A \cap B) = \frac{2}{10}$

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