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

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

Assessment

Interactive Video

Information Technology (IT), Architecture, Mathematics

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video introduces random variables, focusing on discrete random variables and the probability mass function (PMF). It explains the concept of countable values and provides examples, including the sum of dice rolls and coin tosses. The video also introduces the Bernoulli random variable, highlighting its simplicity and applications in logistic regression. The PMF is described as a probability model for discrete variables, adhering to probability laws and axioms.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a discrete random variable?

A variable that can only take integer values

A variable with a countable number of possible values

A variable that is always finite

A variable with an uncountable number of possible values

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about discrete random variables?

They are always finite

They cannot be indexed

They can have decimal values

They must have integer values

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a probability mass function (PMF) do?

Assigns probabilities to continuous random variables

Assigns probabilities to discrete random variables

Calculates the mean of random variables

Determines the variance of random variables

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the probability of a discrete random variable represented?

As a continuous function

As a table or list

As a pie chart

As a histogram

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must the sum of all probabilities in a PMF equal?

0

1

The number of possible outcomes

The mean of the distribution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a property of a probability mass function?

Probabilities must be non-negative

Probabilities are always equal

The sum of probabilities can exceed one

Probabilities can be negative

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a Bernoulli random variable?

A variable that is always continuous

A variable that can only take integer values

A variable with more than two possible outcomes

A variable with exactly two possible outcomes

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