over 40 hours. Only 75% of the batteries from manufacturer 2 last for over 40 hour A battery in a critical tool fails at 32 hours. What is the probability it was from manufacturer 2?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Problem Statement:**

A company named Campbell Company uses batteries from two different manufacturers. Historical data shows that:

- 60% of the batteries are from Manufacturer 1.
- 90% of these batteries from Manufacturer 1 last for over 40 hours.
- 75% of the batteries from Manufacturer 2 last for over 40 hours.

A battery used in a critical tool fails at 32 hours. Determine the probability that this battery was from Manufacturer 2.

**Options:**

- 0.115
- 0.34
- 0.625
- None of the above are correct.
Transcribed Image Text:**Problem Statement:** A company named Campbell Company uses batteries from two different manufacturers. Historical data shows that: - 60% of the batteries are from Manufacturer 1. - 90% of these batteries from Manufacturer 1 last for over 40 hours. - 75% of the batteries from Manufacturer 2 last for over 40 hours. A battery used in a critical tool fails at 32 hours. Determine the probability that this battery was from Manufacturer 2. **Options:** - 0.115 - 0.34 - 0.625 - None of the above are correct.
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