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