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Probabilities

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A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".

Reason for Application
Quality Cost Other Totals

Full time 421 393 76 890
Part time 821 986 122 1929

Letting A be the event that a student is full time and let B the event that the student lists school cost as the first reason for applying.

a. Calculate P(B)
b. Calculate P(B|A)
c. Are A and B independents and I need to justify the answer

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a. P(B)=(393+986)/(890+1929)=48.92%
b. P(B|A)=P(A and ...

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