Probability Distributions

Question 1

What is a random variable?

Answer 1

A numerical representation of an experiment

Question 2

What is discrete data?

Answer 2

Data with exact figures.

With example, the number of students in a class or shoe size

Question 3

What is continuous data?

Answer 3

Data that can take any value in a given range.

Question 4

What is a probability distribution?

Answer 4

A set of value together with their probability.

Question 5

What can we say about the sum of probabilities in a probability distribution?

Answer 5

The sum of probabilities will ALWAYS equal 1

Question 6

How do we represent a probability distribution?

Use a fair dice score as an example.

Answer 6

Dice score (x) 1 2 3 4 5 6
P(X=x) 1/6 1/6 1/6 1/6 1/6 1/6

Question 7

What can we use to represent probability distribution?

Answer 7

A stick diagram

Question 8

What do we call it when all probabilities are the same in a probability distribution?

Answer 8

Discrete uniform distribution

Question 9

What do we call the formula for expressing probability distribution?

Answer 9

A probability mass function

Question 10

Draw a probability mass function for a fair dice

Answer 10

P(X=x) = 1/6 x = 1,2,3,4,5,6
0 otherwise