A time study was conducted by the production manager of a technology company to determine how much time it took an assembly worker to complete a certain task during the assembly of its tablet computers. Results of the study indicated that 25% of the workers were able to complete the task in less than 3 min, 55% of the workers were able to complete the task in 4 min or less, and 10% of the workers required more than 5 min to complete the task. If an assembly-line worker is selected at random from this group, what is the probability of the following? (a) He or she will be able to complete the task in 5 min or less. (b) He or she will not be able to complete the task within 4 min. (c) The time taken for the worker to complete the task will be between 3 and 4 min (inclusive).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A time study was conducted by the production manager of a technology company to determine how much time it took an assembly worker to complete a certain task during the assembly of its tablet computers. Results of the study
indicated that 25% of the workers were able to complete the task in less than 3 min, 55% of the workers were able to complete the task in 4 min or less, and 10% of the workers required more than 5 min to complete the task. If an
assembly-line worker is selected at random from this group, what is the probability of the following?
(a) He or she will be able to complete the task in 5 min or less.
(b) He or she will not be able to complete the task within 4 min.
(c) The time taken for the worker to complete the task will be between 3 and 4 min (inclusive).
Transcribed Image Text:A time study was conducted by the production manager of a technology company to determine how much time it took an assembly worker to complete a certain task during the assembly of its tablet computers. Results of the study indicated that 25% of the workers were able to complete the task in less than 3 min, 55% of the workers were able to complete the task in 4 min or less, and 10% of the workers required more than 5 min to complete the task. If an assembly-line worker is selected at random from this group, what is the probability of the following? (a) He or she will be able to complete the task in 5 min or less. (b) He or she will not be able to complete the task within 4 min. (c) The time taken for the worker to complete the task will be between 3 and 4 min (inclusive).
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