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

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

Assessment

Interactive Video

Information Technology (IT), Architecture

University

Hard

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The video tutorial covers the three main axioms of probability: non-negativity, additivity, and the probability of the sample space being one. It explains how these axioms form the foundation for understanding probability, using examples like rolling a fair die to illustrate concepts. The tutorial also discusses the probability range between 0 and 1, and derives properties such as the probability of an empty set being zero.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three main axioms of probability?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the first axiom of probability.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the axiom of additivity state?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the axiom of additivity be extended to several events?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of mutually exclusive events relate to probability?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the probability of the sample space?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to calculate the probability of an event using the axioms.

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