Module 6: Discrete Random Variales & Discrete Probability Distributions - Part 2

Question 1

Binomial distribution

Answer 1

Type of discrete probability distribution - used to calculate the probability that of seeing x successes in n experimental trials, when each experimental trial could result in success or failure

Question 2

4 properties of binomial distribution

Answer 2

1. A total of n identical trials 2. Each trial results in success or failure 3.the probability of success is the same on each trial 4. A total of n independent trials

Question 3

Permutations

Answer 3

To permute a set is to arrange the elements of the set in a new order - the number of ways to order n is n!

Question 4

Combinations

Answer 4

The number of ways we can select x objects from a set of n unique objects, regardless of their order, is the number of combinations - ‘n choose x’

Question 5

Population parameter

Answer 5

A characteristic of a population (ex. Population standard deviation)

Question 6

The poison distribution

Answer 6

Specific type of discrete probability distribution - used to calculate the probability that we see a certain number of events happening in a specific interval of time or space

Question 7

Assumptions of poison distribution

Answer 7

1. There are independent, non-overlapping intervals of time and/or space 2. The intervals are of equal length 3. The probability that the event occurs is the same in each interval