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What is the probability that (a) both assembly lines are shut down? (b) neither assembly line is shut down? (c) at least one assembly line is at full capacity? (d) exactly one assembly line is at full capacity? What is the complement of the event in part (b)? What is the complement of the event in part (c)?

What is the probability that (a) both assembly lines are shut down? (b) neither assembly line is shut down? (c) at least one assembly line is at full capacity? (d) exactly one assembly line is at full capacity? What is the complement of the event in part (b)? What is the complement of the event in part (c)?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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9) A factory has two assembly lines, each of which is shut down (S), at partial сарасity (P), or at full capacity (F). The sample space is given in the following, where, for example, (S, P) denotes that the first assembly line is shut down and the second one is operating at partial сараcity. (S, S) (S, P) (S, F) 0.02 0.06 0.05 (P, S) (Р, Р) (Р, F) 0.07 0.14 0.20 (F, S) (F, P) (F, F) 0.06 0.21 0.19 What is the probability that (a) both assembly lines are shut down? (b) neither assembly line is shut down? (c) at least one assembly line is at full capacity? (d) exactly one assembly line is at full capacity? What is the complement of the event in part (b)? What is the complement of the event in part (c)?
Transcribed Image Text:9) A factory has two assembly lines, each of which is shut down (S), at partial сарасity (P), or at full capacity (F). The sample space is given in the following, where, for example, (S, P) denotes that the first assembly line is shut down and the second one is operating at partial сараcity. (S, S) (S, P) (S, F) 0.02 0.06 0.05 (P, S) (Р, Р) (Р, F) 0.07 0.14 0.20 (F, S) (F, P) (F, F) 0.06 0.21 0.19 What is the probability that (a) both assembly lines are shut down? (b) neither assembly line is shut down? (c) at least one assembly line is at full capacity? (d) exactly one assembly line is at full capacity? What is the complement of the event in part (b)? What is the complement of the event in part (c)?
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