Week 3: Discrete Probability Distributions

Question 1

Random Variable Definition

Answer 1

A measurement which takes a particular value for each possible trial - frequently a numerical value

Question 2

2 Types of Random Variables

Answer 2

1. Discrete 2. Continuous

Question 3

Discrete random variables

Answer 3

Synonymous with ‘count data’ - random variables which take non-negative integer values

Question 4

Continuous random variables

Answer 4

Synonymous with ‘measured data’

Question 5

Probability distribution

Answer 5

The complete set of sample space values with their associated probabilities which by ‘axiom 2’ must sum to 1 for discrete random variables

Question 6

Denotation of random variables

Answer 6

Capital letter

Question 7

When does a random variable X have a discrete uniform distribution?

Answer 7

If it has k possible outcomes all which are equally likely

Question 8

Probability function

Answer 8

Question 9

Natural Frequency Interpretation

Answer 9

if the experiment is repeated a very large number of times then the probability of any particular value of the random variable is equal to the limit of its relative frequency as the number of experiments becomes infinitely large

Question 10

Key Features. of Bernoulli Trial (3)

Answer 10

1. Has only two possible outcomes - success and failure
2. Fixed probability of success
3. Independent

Question 11

Bernoulli Distribution Equation

Answer 11