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?

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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?
 
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