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.
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.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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