Problem 2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate probability that X is (1) at most 30? (2) less than 30? (3) between 15 and 25 (inclusive)?

Problem 2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate probability that X is (1) at most 30? (2) less than 30? (3) between 15 and 25 (inclusive)?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Problem 2. Suppose that 10% of all steel shafts produced by a certain process are
nonconforming but can be reworked (rather than having to be scrapped). Consider
a random sample of 200 shafts, and let X denote the number among these that are
nonconforming and can be reworked. What is the approximate probability that X
is
(1) at most 30?
(2) less than 30?
(3) between 15 and 25 (inclusive)?

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