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/Gender OT1 AT2 BT3 ABT4 Total FemaleS1 100 50 25 15 190 MaleS2 100 25 10 5 140 Total   200 75 35 20 330   If a person is selected at random from this sample, calculate P(T1|S1) _______  (This means the person has Type O blood given that the person is Female)   If a person is selected at random from this sample, calculate P(S1|T1) _______   If a person is selected at random from this sample, calculate P(T1 and S1) _______   Are T1 and S1 independent events? _______

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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  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/
Gender

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

(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? _______
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