Statistics Formula

Question 1

Mutually Exclusive Events

Answer 1

P(A∩B)=0

Question 2

Independent Events

Answer 2

P(A ∩ B)=P(A)×P(B)

Question 3

Addition Rule

Answer 3

P(A∪B)=P(A)+P(B)−P(A∩B)

Question 4

Multiplication Rule

Answer 4

P(A∩B)=P(A) ×P(B|A)

P(A∩B)=P(B)×P(A|B)

Question 5

If A and B are Independent:

Answer 5

P(B|A)=P(B)

Question 6

If A and B are complements

Answer 6

P(Not A)=1−P(A)

Question 7

Baye’s Theorem

Answer 7

P(A|B)= P(A∩B) / P(B)= P(B|A) ×P(A) / P(B|A)×P(A)+P(B|Not A) ×P(Not A)

Question 8

If B ⊂ A, then:

Answer 8

P(A∪B) = P(A)