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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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