Acomputer consulting firm presently has bids out on three projects. let ai = {awarded project i}, for i = 1, 2, 3, and suppose that p(a1) = 0.23, p(a2) = 0.26, p(a3) = 0.28, p(a1 ∩ a2) = 0.09, p(a1 ∩ a3) = 0.05, p(a2 ∩ a3) = 0.11, p(a1 ∩ a2 ∩ a3) = 0.01. use the probabilities given above to compute the following probabilities, and explain in words the meaning of each one. (round your answers to four decimal places.)

Step-by-step explanation:

For the probability of events not mutually exclusive we have to add the probability of each event and substract the probability of the intersection of the events:

For the given information we can deduce the following probabilities:

<probability of the union of A_1 and A_2>

<probability of the union of A_1 and A_3>

<probability of the union of A_2 and A_3>

We can also use the given information to get the probability of the union of   . For that purpose we use the next formula:

So we the given information:

europa2433

europa2433

step-by-step explanation:

where is the figure