A computer consulting firm presently has bids out on three projects. Let A,- (awarded project /), for i- 1, 2, 3, and suppose that P(A,) - 0.22, P(A,) - 0.26, P(A,) - 0.29, P(A, n A,) - 0.07, P(A, n Ag) - 0.11, P(A, n A,) - 0.05, P(A, nA, n A,) - 0.02. 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.) (a) P(A, IA,) - 0.3182 Explain this probability in words. • If the firm is awarded project 1, this is the chance they will also be awarded project 2. O This is the probability that the firm is awarded both project 1 and project 2. O This is the probability that the firm is awarded either project 1 or project 2. O It the firm is awarded project 2, this is the chance they will also be awarded project 1. (b) P(A, n A, IA,) - 0.0909 Explain this probability in words. O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1. • If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and 3. O This is the probability that the firm is awarded projects 1, 2, and 3. O This is the probability that the firm is awarded at least one of the projects. (e) P(A, UA, IA,) - 0.7273 Explain this probability in words. O This is the probability that the firm is awarded projects 1, 2, and 3. O If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1. • If the firm is awarded project 1, this is the chance they will also be awarded least one of the other two projects. O This is the probability that the firm is awarded at least one of the projects. (d) P(A, n Ag nAg IA, U Ag U Ay) = Explain this probability in words. • If the firm is awarded at least one of the projects, this is the chance that they will be awarded all three projects. O It the firm is awarded at least two of the projects, this is the chance that they will be awarded all three projects. O This is the probability that the firm is awarded at least one of the projects. O This is the probability that the firm is awarded projects 1, 2, and 3.

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Chapter8: Sequences, Series,and Probability
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part d

A computer consulting firm presently has bids out on three projects. Let A,
= {awarded project i}, for i = 1, 2, 3, and suppose that P(A,) = 0.22, P(A,) = 0.26, P(A3) = 0.29, P(A, n A2) = 0.07, P(A, n A3) = 0.11, P(A, n A3) = 0.05, P(A, n Az n A3) = 0.02. 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.)
(a) P(A, | A,) = [0.3182
Explain this probability in words.
If the firm is awarded project 1, this is the chance they will also be awarded project 2.
O This is the probability that the firm is awarded both project 1 and project 2.
O This is the probability that the firm is awarded either project 1 or project 2.
O If the firm is awarded project 2, this is the chance they will also be awarded project 1.
(b) P(A, n A3 |A,) = [0.0909
Explain this probability in words.
O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1.
If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and 3.
This is the probability that the firm is awarded projects 1, 2, and 3.
O This is the probability that the firm is awarded at least one of the projects.
(c) P(A, U A, I A,) = [0.7273
Explain this probability in words.
O This is the probability that the firm is awarded projects 1, 2, and 3.
O If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1.
If the firm is awarded project 1, this is the chance they will also be awarded at least one of the other two projects.
O This is the probability that the firm is awarded at least one of the projects.
(d) P(A, n Ag n Ag l A, U A, U Ag) =|
Explain this probability in words.
If the firm is awarded at least one of the projects, this is the chance that they will be awarded all three projects.
O If the firm is awarded at least two of the projects, this is the chance that they will be awarded all three projects.
O This is the probability that the firm is awarded at least one of the projects.
O This is the probability that the firm is awarded projects 1, 2, and 3.
Transcribed Image Text:A computer consulting firm presently has bids out on three projects. Let A, = {awarded project i}, for i = 1, 2, 3, and suppose that P(A,) = 0.22, P(A,) = 0.26, P(A3) = 0.29, P(A, n A2) = 0.07, P(A, n A3) = 0.11, P(A, n A3) = 0.05, P(A, n Az n A3) = 0.02. 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.) (a) P(A, | A,) = [0.3182 Explain this probability in words. If the firm is awarded project 1, this is the chance they will also be awarded project 2. O This is the probability that the firm is awarded both project 1 and project 2. O This is the probability that the firm is awarded either project 1 or project 2. O If the firm is awarded project 2, this is the chance they will also be awarded project 1. (b) P(A, n A3 |A,) = [0.0909 Explain this probability in words. O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1. If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and 3. This is the probability that the firm is awarded projects 1, 2, and 3. O This is the probability that the firm is awarded at least one of the projects. (c) P(A, U A, I A,) = [0.7273 Explain this probability in words. O This is the probability that the firm is awarded projects 1, 2, and 3. O If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1. If the firm is awarded project 1, this is the chance they will also be awarded at least one of the other two projects. O This is the probability that the firm is awarded at least one of the projects. (d) P(A, n Ag n Ag l A, U A, U Ag) =| Explain this probability in words. If the firm is awarded at least one of the projects, this is the chance that they will be awarded all three projects. O If the firm is awarded at least two of the projects, this is the chance that they will be awarded all three projects. O This is the probability that the firm is awarded at least one of the projects. O This is the probability that the firm is awarded projects 1, 2, and 3.
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