Stats

Question 1

how to test if A and B are mutually exclusive

Answer 1

P(AUB) = P(A) + P(B)

Question 2

how to test if A and B are independent

Answer 2

P(A∩B) = P(A) x P(B)

Question 3

four conditions needed to use the binomial distribution

Answer 3

• two possible outcomes
• two trials must be independent
• fixed number of trials
• probability of each outcome must be constant

Question 4

when can you model a binomial distribution as normal distribution?

Answer 4

when X~B(n,p) where n is large and p≈0.5

Question 5

how can you model a binomial distribution as normal distribution?

Answer 5

if X~B(n,p) then Y~N(np,npq) where q=1-p