Regent Airways is one of the premium private airline companies in Bangladesh. In a recent survey it was found that the average hourly wages of Regent Airways maintenance crew members is Tk. 99, with a standard deviation of Tk. 10. Assume that the hourly wages of maintenance crew members follow a normal distribution. a. What is the probability that a randomly selected crew member earns more than Tk. 109 per hour? b. What is the probability that a randomly selected crew member earns between Tk. 73 and Tk. 129 per hour? c. Junior crew members are considered for promotion after their hourly wages cross a certain threshold. What should the threshold wage be if Regent Airways does not want to promote any more than 55.74% of junior crew members?

Regent Airways is one of the premium private airline companies in Bangladesh. In a recent survey it was found that the average hourly wages of Regent Airways maintenance crew members is Tk. 99, with a standard deviation of Tk. 10. Assume that the hourly wages of maintenance crew members follow a normal distribution. a. What is the probability that a randomly selected crew member earns more than Tk. 109 per hour? b. What is the probability that a randomly selected crew member earns between Tk. 73 and Tk. 129 per hour? c. Junior crew members are considered for promotion after their hourly wages cross a certain threshold. What should the threshold wage be if Regent Airways does not want to promote any more than 55.74% of junior crew members?

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

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Question

a. What is the probability that a randomly selected crew member earns more than Tk. 109 per hour?

b. What is the probability that a randomly selected crew member earns between Tk. 73 and Tk. 129 per hour?

c. Junior crew members are considered for promotion after their hourly wages cross a certain threshold. What should the threshold wage be if Regent Airways does not want to promote any more than 55.74% of junior crew members?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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