6 - Statistical distributions

Question 1

What is the sample space?

Answer 1

The range of values that a random variable can take.

Question 2

What is a random variable?

Answer 2

A variable whose value depends on the outcome of a random event.

Question 3

Write the probability mass function for a fair dice.

Answer 3

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

Question 4

What is a discrete uniform distribution?

Answer 4

When all the probabilities are equal.

Question 5

Give 4 conditions for a variable to be distributed binomially.

Answer 5

Fixed number of trials
Two possible outcomes
Fixed probability of success
Trials are independent