A sample space consists of five simple events, E1, E2, E3, E4, and E5. a If P(E1) =

Chapter 2, Problem 2.11

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QUESTION:

A sample space consists of five simple events, E1, E2, E3, E4, and E5. a If P(E1) = P(E2) = 0.15, P(E3) = 0.4, and P(E4) = 2P(E5), find the probabilities of E4 and E5. b If P(E1) = 3P(E2) = 0.3, find the probabilities of the remaining simple events if you know that the remaining simple events are equally probable.

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QUESTION:

A sample space consists of five simple events, E1, E2, E3, E4, and E5. a If P(E1) = P(E2) = 0.15, P(E3) = 0.4, and P(E4) = 2P(E5), find the probabilities of E4 and E5. b If P(E1) = 3P(E2) = 0.3, find the probabilities of the remaining simple events if you know that the remaining simple events are equally probable.

ANSWER:

Step 1 of 3

Given that a sample space consists of five events and .

Also, it is given that

To find the probabilities of the events and .

Suppose, be the sample space.

According to the given hypothesis,

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