question archive In STAT4800-W05, there are two term tests and, it is believed that the term test 2 is harder than the term test 1

In STAT4800-W05, there are two term tests and, it is believed that the term test 2 is harder than the term test 1

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In STAT4800-W05, there are two term tests and, it is believed that the term test 2 is harder than the term test 1. You believe the probability you pass the term test 1 is 80%. If you pass the term test 1, the probability you also pass the term test 2 will be 60%, and if you fail the term test 1, the probability you pass the term test 2 will be 30%. Let X be the number of term tests you pass.

a) Find the probability model for X.

 b) Find and interpret the expected number of tests you pass. What is your recommendation to your friend, about this instructor, who is planning to take the STAT4800 in next semester?

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