LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 94 minutes and a standard deviation of 17 minutes. a. What is the probability that the new data analysts will take more than 105 minutes to learn the analysis procedure? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the new data analysts will take between 50 to 95 minutes to learn the analysis procedure? Answer in exact fraction, or rounded to at least 4 decimal places. c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 71.49% of new analysts? Answer in exact fraction, or rounded to at least 2 decimal places. minutes
LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 94 minutes and a standard deviation of 17 minutes. a. What is the probability that the new data analysts will take more than 105 minutes to learn the analysis procedure? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the new data analysts will take between 50 to 95 minutes to learn the analysis procedure? Answer in exact fraction, or rounded to at least 4 decimal places. c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 71.49% of new analysts? Answer in exact fraction, or rounded to at least 2 decimal places. minutes
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Transcribed Image Text:LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project.
The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 94 minutes and a standard
deviation of 17 minutes.
a. What is the probability that the new data analysts will take more than 105 minutes to learn the analysis procedure?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. What is the probability that the new data analysts will take between 50 to 95 minutes to learn the analysis procedure?
Answer in exact fraction, or rounded to at least 4 decimal places.
c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be
the specified time limit if they wish to retain at most 71.49% of new analysts?
Answer in exact fraction, or rounded to at least 2 decimal places.
minutes
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