Binomial Distribution 1: Introduction to binomial distribution

Question 1

Notation for binomial distribution

Answer 1

X~B(n,p)
- X represents the number of successful outcomes
- n represents the number of fixed trials
- p represents the fixed probability of success

Question 2

Formula for P(X = r)

Answer 2

nCr x p^r x (1-p)^n-r

Question 3

conditions that need to be met when using the binomial distribution

Answer 3

• trials are independent
• there are 2 possible outcomes for each trial
• there is a fixed probability of success for each trial
• the discrete random variable X is the number of successes in the n trials

Question 4

Formula for expectation

Answer 4

• calculates the mean value
• E(X) = np