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Please answer the following questions using a Tree Diagram. Student organization research shows that 45% are...

Please answer the following questions using a Tree Diagram.

Student organization research shows that 45% are Freshmen (F), 35% are Sophomores (S), the rest are Juniors (J). Among the F, 50% take Math (M). Among the S, 40% take M, while among the J 30% take M. Find the probability that student:

A) is an S and takes M

B) takes M

C) is an S given that he/she takes M

D) does not take M

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