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 82 minutes and a standard deviation of 11 minutes. a. What is the probability that the new data analysts will take more than 77 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 54 to 85 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 72.67% 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 82 minutes and a standard deviation of 11 minutes. a. What is the probability that the new data analysts will take more than 77 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 54 to 85 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 72.67% of new analysts? Answer in exact fraction, or rounded to at least 2 decimal places. minutes
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
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 82 minutes and a standard deviation of 11 minutes.
a. What is the probability that the new data analysts will take more than 77 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 54 to 85 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 72.67% of new analysts?
Answer in exact fraction, or rounded to at least 2 decimal places.
minutes
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill