Suppose that 11% 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. (Round your answers to four decimal places.) USE SALT (a) What is the (approximate) probability that X is at most 30? 0.9726 (b) What is the (approximate) probability that X is less than 30? 0.9647 X (c) What is the (approximate) probability that X is between 15 and 25 (inclusive)? 0.6943 X You may need to use the appropriate table in the Appendix of Tables to answer this question.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that 11% 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. (Round your answers to four decimal places.)
USE SALT
(a) What is the (approximate) probability that X is at most 30?
0.9726
(b) What is the (approximate) probability that X is less than 30?
0.9647
X
(c) What is the (approximate) probability that X is between 15 and 25 (inclusive)?
0.6943
X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Suppose that 11% 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. (Round your answers to four decimal places.) USE SALT (a) What is the (approximate) probability that X is at most 30? 0.9726 (b) What is the (approximate) probability that X is less than 30? 0.9647 X (c) What is the (approximate) probability that X is between 15 and 25 (inclusive)? 0.6943 X You may need to use the appropriate table in the Appendix of Tables to answer this question.
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