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The weight distribution of parcels sent in a certain

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 47E Chapter 4

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 47E

The weight distribution of parcels sent in a certain manner is normal with mean value 12 lb and standard deviation 3.5 lb. The parcel service wishes to establish a weight value ?c ?beyond which there will be a surcharge. What value of ?c ?is such that 99% of all parcels are at least 1 lb under the surcharge weight?

Step-by-Step Solution:
Step 1 of 3

Solution 47E Step1 of 2: We have The weight distribution of parcels sent in a certain manner is normal with mean value 12 lb and standard deviation 3.5 lb. That is =12 and = 3.5 We need to establish a weight value c beyond which there will be a surcharge and we need to find What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight Step2 of 2: Consider, = 99% = 0.99 Z Z 0.99 We need to find the value of Z score and it is calculated by using standard normal table(area under normal curve). We have to see where 0.99 falls in standard normal table, it falls in row 2.3 under column 0.04. Hence, Z = 2.34. 0.99 Now, The Z statistics is given by Z = x Where, Z = z score x = random variable(c) = mean = standard deviation x Z = x12 2.34 = 3.5 2.34×3.5 = c - 12 8.19 = c - 12 8.19 + 12 = x 20.19 = x Therefore the value of c is given by c = x + 1 = 20.19 + 1 c = 21.19.

Step 2 of 3

Chapter 4, Problem 47E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

The full step-by-step solution to problem: 47E from chapter: 4 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. Since the solution to 47E from 4 chapter was answered, more than 503 students have viewed the full step-by-step answer. The answer to “The weight distribution of parcels sent in a certain manner is normal with mean value 12 lb and standard deviation 3.5 lb. The parcel service wishes to establish a weight value ?c ?beyond which there will be a surcharge. What value of ?c ?is such that 99% of all parcels are at least 1 lb under the surcharge weight?” is broken down into a number of easy to follow steps, and 59 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This full solution covers the following key subjects: weight, parcels, surcharge, beyond, least. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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