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The following probability assignments apply pe1 05 pe2 20

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Suppose that we have a sample space S  {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply: P(E1)  .05, P(E2)  .20, P(E3)  .20, P(E4)  .25, P(E5)  .15, P(E6)  .10, and P(E7)  .05. Let A ={E1, E4, E6} B= {E2, E4, E7} C ={E2, E3, E5, E7}

a. Find P(A), P(B), and P(C).

b. Find A  B and P(A  B).

c. Find A  B and P(A  B).

d. Are events A and C mutually exclusive?

e. Find Bc and P(Bc).

Reference no: EM13578368

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