(P4.2)- A sample space S consists of five simple events with these probabilities.....

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(P4.2)- A sample space S consists of five simple events with these probabilities:

P(E1) = P(E2) = .15 P(E3) = .4

P(E4) = 2P(E5)

a. Find the probabilities for simple events E4 and E5.

b. Find the probabilities for these two events:

A = {E1, E3, E4}

B = {E2, E3}

c. List the simple events that are either in event A or event B or both.

d. List the simple events that are in both event A and event B.

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