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The performance of sales representatives of Samsung Bangladesh is monitered using the monthly sales volume that they acheive. The number of mobile devices sold by the sales representatives is known to follow a normal distribution with a mean of 321 units and a standard deviation of 54 units. Every month, representatives with sales volumes between 283 units and 423 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.

The performance of sales representatives of Samsung Bangladesh is monitered using the monthly sales volume that they acheive. The number of mobile devices sold by the sales representatives is known to follow a normal distribution with a mean of 321 units and a standard deviation of 54 units. Every month, representatives with sales volumes between 283 units and 423 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.

A First Course in Probability (10th Edition)
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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The performance of sales representatives of Samsung Bangladesh is monitered using the monthly sales volume that they acheive. The number of mobile devices sold by the sales representatives is known to follow a normal distribution with a mean of 321 units and a standard deviation of 54 units. Every month, representatives with sales volumes between 283 units and 423 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.
Transcribed Image Text:The performance of sales representatives of Samsung Bangladesh is monitered using the monthly sales volume that they acheive. The number of mobile devices sold by the sales representatives is known to follow a normal distribution with a mean of 321 units and a standard deviation of 54 units. Every month, representatives with sales volumes between 283 units and 423 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 77 percentile value for the number of devices sold by the sales representatives. Answer in exact fraction, or rounded to at least 2 decimal places. units c. At the training workshop, representatives who placed within the top 8.83% of the accepted range are also enrolled in a long- term mentorship program. So, what is the minimum target sales volume a representative should try to achieve if they want to join the mentorship program? Answer in exact fraction, or rounded to at least 2 decimal places. units
Transcribed Image Text:b. Determine the 77 percentile value for the number of devices sold by the sales representatives. Answer in exact fraction, or rounded to at least 2 decimal places. units c. At the training workshop, representatives who placed within the top 8.83% of the accepted range are also enrolled in a long- term mentorship program. So, what is the minimum target sales volume a representative should try to achieve if they want to join the mentorship program? Answer in exact fraction, or rounded to at least 2 decimal places. units
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