A smoke - detector system uses two devices, A and B, which operate independently. When the smoke is present, the probability that it will be detected by device A is 0.95, the probability that it will be detected by device B is 0.91. a. When the smoke is present, probability that it will be detected by both devices is b. When the smoke is present, probability that it will be detected by at least one device is c. When the smoke is present, probability that it will not be detected by device A, but will b detected by device B is_ Assuming that the event "The smoke is detected by device A" is denoted by A and the event "The smoke is detected by device B" is denoted by B, show your work in finding probabilities in a . b. and c.

A smoke - detector system uses two devices, A and B, which operate independently. When the smoke is present, the probability that it will be detected by device A is 0.95, the probability that it will be detected by device B is 0.91. a. When the smoke is present, probability that it will be detected by both devices is b. When the smoke is present, probability that it will be detected by at least one device is c. When the smoke is present, probability that it will not be detected by device A, but will b detected by device B is_ Assuming that the event "The smoke is detected by device A" is denoted by A and the event "The smoke is detected by device B" is denoted by B, show your work in finding probabilities in a . b. and c.

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

Please solve practice question 2 and show the steps for the required areas. Please and thank you.

2.
A smoke detector system uses two devices, A and B, which operate independently.
When the smoke is present, the probability that it will be detected by device A is 0.95, the
probability that it will be detected by device B is 0.91.
a. When the smoke is present, probability that it will be detected by both devices is
b. When the smoke is present, probability that it will be detected by at least one device is
c. When the smoke is present, probability that it will not be detected by device A, but will be
detected by device B is_
Assuming that the event "The smoke is detected by device A" is denoted by A
and the event "The smoke is detected by device B" is denoted by B,
show your work in finding probabilities in a, b, and c.

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Step 3: Find the probability that the smoke will be detected by at least one device is:

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Step 4: Find the probability that it will not be detected by device A but will be detected by B:

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