binomial & normal distribution

Question 1

Random Variable definition

Answer 1

the value of a variable resulting from a random experiment

Question 2

Random Experiment definition

Answer 2

an experiment where the outcome cannot be predicted

Question 3

Types of Random Variable

Answer 3

1. discrete random variable
2. continuous random variable

Question 4

Discrete Random Variable

Answer 4

• non-negative, distinct, countable numbers (integers)
• used in binomial distribution

Question 5

Continuous Random Variable

Answer 5

• takes any values, including uncountable numbers
• used in binomial distribution

Question 6

Parameters for Binomial Distribution

Answer 6

• n : total number of trials
• p : probability of a certain outcome occuring

Question 7

Conditions for Binomial Distribution

Answer 7

1. fixed no. of trials (n)
2. independent outcomes for each trial
3. two mutually exclusive outcomes for each trial
4. same probability of success (p) for each trial
5. discrete random variable

Question 8

Assumptions for Binomial distribution

Answer 8

contextualise:
1. independent outcomes for each trial
2. same probability of success (p) for each trial

Question 9

Parameters for Normal Distribution

Answer 9

1. mean = E(X)
2. variance = Var(X)

Question 10

Conditions for Normal Distribution

Answer 10

1. continuous random variable