A computer consulting firm presently has bids out on three projects. Let A = {awarded project /}, for i = 1, 2, 3, and suppose that P(A₁) = 0.23, P(A₂) = 0.26, P(A3) = 0.28, P(A₁ A₂) = 0.08, P(A₁ A3) = 0.07, P(A₂n A3) = 0.05, P(A₁ A₂ 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(A₂ | A₁) = Explain this probability in words. O If the firm is awarded project 2, this is the chance they will also be awarded project 1. O This is the probability that the firm is awarded either project 1 or project 2. O 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. (b) P(A₂ A3 A₁) = | Explain this probability in words. O This is the probability that the firm is awarded projects 1, 2, and 3. This is the probability that the firm is awarded at least one of the projects. O If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1. (c) P(A₂ U A3 | A₁) = Explain this probability in words. O This is the probability that the firm is awarded at least one of the projects. O 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 If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1. O This is the probability that the firm is awarded projects 1, 2, and 3. (d) P(A₁ A₂ A3 | A₁ A₂ A3) = | 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 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 If the firm is awarded at least two of the projects, this is the chance that they will be awarded all three projects.
A computer consulting firm presently has bids out on three projects. Let A = {awarded project /}, for i = 1, 2, 3, and suppose that P(A₁) = 0.23, P(A₂) = 0.26, P(A3) = 0.28, P(A₁ A₂) = 0.08, P(A₁ A3) = 0.07, P(A₂n A3) = 0.05, P(A₁ A₂ 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(A₂ | A₁) = Explain this probability in words. O If the firm is awarded project 2, this is the chance they will also be awarded project 1. O This is the probability that the firm is awarded either project 1 or project 2. O 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. (b) P(A₂ A3 A₁) = | Explain this probability in words. O This is the probability that the firm is awarded projects 1, 2, and 3. This is the probability that the firm is awarded at least one of the projects. O If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1. (c) P(A₂ U A3 | A₁) = Explain this probability in words. O This is the probability that the firm is awarded at least one of the projects. O 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 If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1. O This is the probability that the firm is awarded projects 1, 2, and 3. (d) P(A₁ A₂ A3 | A₁ A₂ A3) = | 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 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 If the firm is awarded at least two of the projects, this is the chance that they will be awarded all three projects.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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(A₁) = 0.23, P(A₂) = 0.26, P(A3) = 0.28, P(A₁ A₂) = 0.08, P(A₁ A₂) = 0.07, P(A₂n A3) = 0.05, P(A₁ A₂ 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(A₂|A₁₂) = |
Explain this probability in words.
O If the firm is awarded project 2, this is the chance they will also be awarded project 1.
O This is the probability that the firm is awarded either project 1 or project 2.
O 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.
(b) P(A₂n A3 A₁) =|
Explain this probability in words.
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.
O If the firm is awarded project 1, this is the chance they will also be awarded projects 2 and 3.
O If the firm is awarded projects 2 and 3, this is the chance they will also be awarded project 1.
(c) P(A₂ U A3 | A₁₂) = |
Explain this probability in words.
O This is the probability that the firm is awarded at least one of the projects.
O If the firm is awarded project 1, this is the chance they will also be awarded at least one of the other two
projects.
If the firm is awarded at least one of projects 2 and 3, this is the chance they will also be awarded project 1.
O This is the probability that the firm is awarded projects 1, 2, and 3.
(d) P(A₁ A₂ A3 | A₁ A₂ UA3) =
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 the projects, this is the chance that they will be awarded all three projects.
This is the probability that the firm is awarded at least one of the 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.
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