Problem

An experiment results in one of five sample points with the following probabilities: P(E1)...

An experiment results in one of five sample points with the following probabilities: P(E1) = .22, P(E2) = .31, P(E3) = .15, P(E4) = .22, and P(E5) = .1. The following events have been defined:

A: {E1, E3}

B: {E2, E3, E4}

C: {E1, E5}

Find each of the following probabilities:

a.  P(A)


b.  P(B)


c.  P( AB)


d.  P(A | B)


e.  P(BC)


f.  P( C | B)


g. Consider each pair of events A and B, A and C, and B and C. Are any of the pairs of events independent? Why?

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