A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test.
a.Find the probability of scoring above 400.
b.Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.

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The Answer of A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test.
a.Find the probability of scoring above 400.
b.Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.

A Survey of Business Students Who Had Taken the Graduate