Question 4. An engineering firm is constructing power plants at three different sites. Define the events...

Question 4. An engineering firm is constructing power plants at three different sites. Define the events E1, E2, E3 as follows:
E1 = the plant at site 1 is completed by the contract date
E2 = the plant at site 2 is completed by the contract date

E3 = the plant at site 3 is completed by the contract date
An extensive analysis of the history of the performance of this firm has estimated the following probabilities for each of these events:
P(E1) = 0.85
P(E2) = 0.90
P(E3) = 0.75
Given that E1 is completed, P(E3) is 0.8
The probability all three are completed on time is 0.66
The probability no plants are completed on time is 0.03
The probability that both E1 and E2 are completed on time is 0.80
The probability that only E2 is completed on time is 0.05

For each scenario (event) described below (b-g), draw a new Venn diagram that shades the area of interest, write the event using proper set notation, and determine the associated probability.

f) Exactly one of the three plants is completed by the contract date

Expert Solution

orchestra answered 2 years ago

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