Q2W8 Random Variables Basic

Front

What is a random variable?

Back

A random variable is a numerical outcome of a random phenomenon.

Front

What is a discrete random variable?

Back

A discrete random variable has a fixed set of possible values, often counted in whole numbers.

Front

What is a continuous random variable?

Back

A continuous random variable can take any value within a given range or interval.

Front

What is a probability distribution?

Back

A probability distribution describes how probabilities are distributed over the values of a random variable.

Front

What are the properties of a valid probability distribution?

Back

1. All probabilities must be between 0 and 1. 2. The sum of all probabilities must equal 1.

Front

If the sum of p(x) does not equal 1, is it a valid probability distribution?

Back

No, it is not a valid probability distribution.

Front

What is the difference between discrete and continuous random variables?

Back

Discrete random variables have specific values with gaps, while continuous random variables can take any value in an interval.

Front

Give an example of a discrete random variable.

Back

The number of students in a classroom.

Front

Give an example of a continuous random variable.

Back

The height of students in a classroom.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur.