Answered: The table below shows the results of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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	0 T₁	A T₂	B T₃	AB T₄	Total
Female S₁	100	50	25	15
Male S₂	100	25	10	5
Total

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

b. 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)

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

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

e. Are T₁and S₁ independent events?

Use formula to justify answer.

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