Data Science and Machine Learning (Theory and Projects) A to Z - Probability Model: Probability Models Conditional Indep

Data Science and Machine Learning (Theory and Projects) A to Z - Probability Model: Probability Models Conditional Indep

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

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The video revisits a question from the previous session about the independence of events A and B. It provides a proof that if A does not depend on B, then B does not depend on A. The concept of conditional independence is introduced, explaining how two events can become independent when conditioned on a third event. This concept is crucial in classification schemes like Naive Bayes. The video concludes with a preview of the next topic, Bayes rule, and its application to random variables.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the probability of A given B relate to the independence of A and B?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of independence relate to the intersection of events A and B?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What can we conclude about the relationship between events A and B if A does not depend on B?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the statement 'if A does not depend upon B, then B does not depend upon A'?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the concept of conditional independence as discussed in the video.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe a scenario where two events are dependent but become independent when conditioned on another event.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What role does conditional independence play in classification schemes, particularly in machine learning?

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