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

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

Assessment

Interactive Video

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Information Technology (IT), Architecture, Social Studies

University

Hard

The video tutorial explains binomial random variables, focusing on independent Bernoulli trials. It describes an experiment involving coin tosses, where the random variable X represents the number of heads. The tutorial covers sample space, possible outcomes, and probability calculations for different values of X. It introduces the general formula for binomial probabilities and concludes with an invitation to explore further in a Python module.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a binomial random variable and how is it defined?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the random variable X be defined in the context of coin tossing?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the number of tosses (N) in a binomial experiment.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible outcomes when tossing a coin three times?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the probability distribution for the number of heads when tossing a coin N times.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the probability of success (P) affect the outcomes of a binomial random variable?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general formula for calculating the probability of getting K heads in N trials?

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