Data Science and Machine Learning (Theory and Projects) A to Z - Random Variables: Geometric Random Variable Normalizati

Data Science and Machine Learning (Theory and Projects) A to Z - Random Variables: Geometric Random Variable Normalizati

Assessment

Interactive Video

Information Technology (IT), Architecture, Mathematics

University

Hard

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The video explains geometric random variables, focusing on their infinite sample space and discreteness. It discusses the normalization property, proving that the sum of probabilities for all possible outcomes equals one. The video concludes with a preview of using Python to simulate geometric trials and plot distributions.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the feature or variable of interest when performing independent Bernoulli trials?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the sample space for a geometric random variable is considered infinite.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a random variable to be discrete, and how does this relate to geometric random variables?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the number of tosses and the outcome of a geometric random variable.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the probabilities of each value of a random variable being positive in the context of geometric random variables?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the normalization property apply to geometric random variables?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the sum of probabilities for a geometric random variable equal one despite having infinitely many outcomes?

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