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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Exercise: Probability of Mutually Exclusive Events**
In this exercise, you are given the following problem:
"E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F)."
There is a text input box where you can enter your answer, and a "Submit Question" button to check your response.
**Explanation:**
In probability theory, mutually exclusive events are events that cannot occur at the same time. If E and F are mutually exclusive, P(E and F) = 0. Therefore, the conditional probability P(E | F) is 0, as event E cannot happen given that event F has occurred.
**Solution Strategy:**
Given the nature of mutually exclusive events:
- P(E and F) = 0
- P(E | F) = P(E and F) / P(F) = 0 / P(F) = 0
Thus, the answer to the problem is P(E | F) = 0.](https://content.bartleby.com/qna-images/question/24b8115f-9a19-47b6-814b-3be924127cef/476eff3c-9e5e-46cb-9d92-4ea61cc5471b/rrdk5vb_thumbnail.jpeg)
Transcribed Image Text:**Exercise: Probability of Mutually Exclusive Events**
In this exercise, you are given the following problem:
"E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F)."
There is a text input box where you can enter your answer, and a "Submit Question" button to check your response.
**Explanation:**
In probability theory, mutually exclusive events are events that cannot occur at the same time. If E and F are mutually exclusive, P(E and F) = 0. Therefore, the conditional probability P(E | F) is 0, as event E cannot happen given that event F has occurred.
**Solution Strategy:**
Given the nature of mutually exclusive events:
- P(E and F) = 0
- P(E | F) = P(E and F) / P(F) = 0 / P(F) = 0
Thus, the answer to the problem is P(E | F) = 0.
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