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 93 minutes and a standard deviation of 16 minutes. a. What is the probability that the new data analysts will take more than 121 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 67 to 118 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 80.85% of new analysts? Answer in exact fraction, or rounded to at least 2 decimal places. minutes

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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 93 minutes and a standard
deviation of 16 minutes.
a. What is the probability that the new data analysts will take more than 121 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 67 to 118 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 80.85% of new analysts?
Answer in exact fraction, or rounded to at least 2 decimal places.
minutes
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 93 minutes and a standard deviation of 16 minutes. a. What is the probability that the new data analysts will take more than 121 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 67 to 118 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 80.85% of new analysts? Answer in exact fraction, or rounded to at least 2 decimal places. minutes
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