The performance of sales representatives of Xiaomi Bangladesh is monitered using the monthly sales volume that they acheive. The number of mobile devices sold by the salesrepresentatives is known to follow a normal distribution with a mean of 436 units and a standard deviation of 56 units. Every month, representatives with sales volumes between409 units and 521 units are sent to a special training workshop to further improve their sales skills.a. What is the probability that a randomly selected representative will not get sent to the training workshop?Answer in exact fraction, or rounded to at least 4 decimal places.b. Determine the 80 percentile value for the number of devices sold by the sales representatives.Answer in exact fraction, or rounded to at least 2 decimal places.unitsc. At the training workshop, representatives who placed within the bottom 14.97% of the accepted range are also enrolled in a long-term mentorship program. So, what is theminimum target sales volume a representative should try to achieve if they wish to skip the mentorship program?Answer in exact fraction, or rounded to at least 2 decimal places.units

If the person falls out of the volume range of 409 and 521 ,he will not sent to the workshop

Answered: The performance of sales…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Georgia residents spent an average of $470 on the lottery in 2010, or 1% of their personal income (www.msn.com, May 23, 2012). Suppose the amount spent on the lottery follows a normal distribution with a standard deviation of $50. If five Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500? (Round your answer to three decimal places.)
A local service station is opened 7 days per week, every day of the year. Sale of its premium grade oil is 40 cans per day, with a standard deviation of 9.15, and each can of oil costs $15. The service station reviews its inventory every Monday when a supply sales representative arrives. Assuming the station owner wants a 99.5% service probability and the lead time for delivery is 3 days, how many cans of oil should the service station order, if there are currently 55 cans of oil on the shelf?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 137 lb and a standard deviation of 34.8 lb. if 35 different pilot are randomly selected find the probability that their mean weight is between 130 lb and 181 lb
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According to "Infoplease," 19.1% of the luxury cars manufactured in 2003 were silver. A large car dealership typically sells 45 luxury cars a month.
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A company records the mean time in years that used passenger cars and used pick-up trucks were kept before being sold by the owner. The mean time for used car is 5.6 years with a standard deviation of 1.5 years. For pick-up trucks, the mean time is 6.8 years with a standard deviation of 2.2 years. What is the probability that the mean time that 100 pick-up trucks were kept exceeds the mean time that 64 used cars were kept by at least 1.8 years?

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