Question: With the following given conditional probabilities for students from NYU, LIU & NYIT H1 (NYIT) H2 (LIU) H3 (NYU) P(Hi) Total # student in %

With the following given conditional probabilities for students from NYU, LIU & NYIT

H1 (NYIT)

H2 (LIU)

H3 (NYU)

P(Hi) Total # student in %

0.1

0.3

0.6

P(E1/Hi) wearing suit

0.8

0.3

0.4

P(E2/Hi) wearing Fossil watch

0.2

0.9

0.4

P(E3/Hi) wearing jeans

0.1

0.5

0.8

P(E4/Hi) carrying backpack

0.8

0.7

0.2

P(E5/Hi) driving Audi

0.6

0.4

0.6

If there is a student driving an Audi, wearing jeans, and carrying a backpack show the calculations to determine the probability of the student attending each school.

Calculate to 4 decimal places

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