D2. Probability Mass Functions

Question 1

What type of data are PMFs used for?

Answer 1

Discrete variables.

Question 2

Define Probability Mass Function

Answer 2

A lidt of relative frequencies/probabilities associated with each of its possible values.

Question 3

What is the formal (mathematical) definition of PMF?

Answer 3

Question 4

What is the Bernoulli distribution?

Answer 4

General version of the PMF for coin tossing:

f(0) = P(X=0) = p, f(1) = P(X=1) = 1-p

Question 5

What is categorical distribution?

Answer 5

AKA generalised Bernoulli distribution, or multinoulli distribution.

Question 6

The PMF for binomial variables

Answer 6