As an incoming freshman,Marcus believes that he has a 25% chance ofearning GPA i

Question

As an incoming freshman,Marcus believes that he has a 25% chance ofearning GPA in the 3.5 to 4.0 range, a 35% chance of graduatingwith 3.0 to 3.5 GPA, and a 40% chance of finishing with a GPA lessthan 3.0. From what the pre-med advisor has told him, he has an 8in 10 chance of getting into medical school if his GPA is above3.5, a 5 in 10 chance if his GPA is in the 3.0-3.5 range, and onlya 1 in 10 chance if his GPA falls below 3.0. Based on thoseestimates, what is the probability that Marcues gets into medicalschool? ( The answer is 0.415, how can I get this?)

Explanation / Answer

Conditional probability 25% GPA 3.5 -4.0 range, 80% 35% 3.0- 3.5 GPA, a 50% 40%

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