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 347 units and a standard deviation of 51 units. Every month, representatives with sales volumes between 282 units and 409 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 86 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 5.98% 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

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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 347 units and a standard deviation of 51 units. Every
month, representatives with sales volumes between 282 units and 409 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 86 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 5.98% 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: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 347 units and a standard deviation of 51 units. Every month, representatives with sales volumes between 282 units and 409 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 86 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 5.98% 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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