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Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions: (see attachment for full question).

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PROBLEM 2
Records of student patients at a dentist's office concerning fear of visiting the dentist suggest the following proportions.
School
Elementary Middle High
Fear 0.12 0.08 0.05
Do not fear 0.28 0.25 0.22

For a student selected at random, consider the events
A= (fear), M= (middle school)

(a) Find the probabilities
P(A), P(AM)
P(M), P(A M)
(b) Are A and M independent?

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