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Assume that A, B and C are independent and that P(A) = 0.4 and P(AUB) = 0.57. i. Evaluate P(B). ii. Find the value of P (BC|AC).

Assume that A, B and C are independent and that P(A) = 0.4 and P(AUB) = 0.57. i. Evaluate P(B). ii. Find the value of P (BC|AC).

A First Course in Probability (10th Edition)
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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1. a. Assume that a device contains 3 components, each of which must be tested with respect to its functional condition. Consider the following events: A: The 1st component needs replacement; B: The 2nd component needs replacement; C: The 3rd component needs replacement. Assume that A, B and C are independent and that P(A) = 0.4 and P(A U B) = 0.57. Evaluate P(B). Find the value of P (BC|AC). i. ii.
Transcribed Image Text:1. a. Assume that a device contains 3 components, each of which must be tested with respect to its functional condition. Consider the following events: A: The 1st component needs replacement; B: The 2nd component needs replacement; C: The 3rd component needs replacement. Assume that A, B and C are independent and that P(A) = 0.4 and P(A U B) = 0.57. Evaluate P(B). Find the value of P (BC|AC). i. ii.
Expert Solution
Step 1

It is given that the events A, B and C are independent.

P(A) = 0.4

P(AUB) = 0.57

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