Stats Chapter 3

Question 1

What is empirical vs classical probability

Answer 1

empirical: outcomes NOT equally likely
classical: outcomes ARE equally likely

Question 2

What is P(A U B) when not mutually exclusive

Answer 2

P(A U B) = P(A) + P(B) - P(A n B)

Question 3

mutually exclusive

Answer 3

P(A n B)=0, cannot happen at the same time

Question 4

What is P(A U B) when mutually exclusive

Answer 4

P(A U B) = P(A) + P(B)

Question 5

What is P(A n B) when mutually exclusive

Answer 5

P(A n B) = 0

Question 6

What is a conditional probability equal to

Answer 6

P(AIB) = P(A n B) / P(B)

Question 7

What are three ways to prove independence

Answer 7

P(AIB) = P(A)
P(BIA) = P(B)
P(A n B) = P(A)P(B)

Question 8

What does is it mean when P(E)=0?
P(E)=1?

Answer 8

0 = event cannot occur
1 = event is certain to occur

Question 9

What are the possible numbers P(E) can be?

Answer 9

0 is less than or equal to P(E) is less than or equal to 1