Probability  Statistics - The Foundations of Machine Learning - Quantifying Events - Random Variables

Probability Statistics - The Foundations of Machine Learning - Quantifying Events - Random Variables

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Easy

Created by

Quizizz Content

Used 1+ times

FREE Resource

The video introduces the concept of random variables, explaining how outcomes are mapped to numeric values. It distinguishes between mathematical and programming variables, highlighting their differences. The video delves into random variables, their probability distributions, and how they are represented graphically. It covers frequency and probability tables, including cumulative frequency distributions. The video concludes with a discussion on summation rules and distribution concepts, preparing viewers for more complex topics involving multiple random variables.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a random variable in the context of probability?

A variable that maps outcomes to numeric values

A variable that is only used in programming

A variable that always changes

A constant value

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a mathematical variable differ from a programming variable?

Mathematical variables are assigned once and do not change, programming variables can change

There is no difference between the two

Programming variables are constants, mathematical variables are not

Mathematical variables can change, programming variables cannot

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about random variables?

They can only take integer values

They have a probability associated with each possible value

They are always constant

They are only used in computer science

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability of each outcome when rolling a fair six-sided die?

1/6

1/3

1/12

1/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a probability distribution?

A method to calculate averages

A way to distribute probabilities among different outcomes

A list of all possible outcomes

A type of random variable

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a frequency distribution?

A distribution of probabilities

A type of random variable

A table showing the frequency of different outcomes

A method to calculate probabilities

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you convert a frequency distribution into a probability distribution?

By multiplying each frequency by 100

By dividing each frequency by the total number of observations

By subtracting each frequency from the total

By adding all frequencies together

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