1. The table below shows the results of a random sample of patients at a hospital classified by the mutually exclusive categories: gender and blood type.

blood type	O T1	A T2	B T3	AB T4	Total
Female S1	100	50	25	15	190
Male S2	100	25	10	5	140
Total	200	75	35	20	330

1. Complete the table by filling in the correct values in the total column and total row

1. If a person is selected at random from this sample, calculate P(T₁|S₁) ___0.5____

(This means the person has Type O blood given that the person is Female)

1. If a person is selected at random from this sample, calculate P(S₁|T₁) _______

1. If a person is selected at random from this sample, calculate P(T₁ and S₁) _______

1. Are T₁ and S₁ independent events? _______

Use formula (on page 148)to justify your answer.