Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 6 - Section 6.3 - Applications of the Normal Distribution - Exercises - Page 252: 6.35

Answer

From the given normal distribution, μ=5.75 and σ= 0.11 Probability that pucks produced by a factory can be used= $P(5.5 \lt x \lt 6)$ = $P(\frac{5.5-5.75}{0.11} \lt z \lt \frac{6-5.75}{0.11})$ = $P(-2.2727 \lt z \lt 2.2727)$ = 0. 9885 - 0.0115 =0.977 Probability that pucks produced by a factory cannot be used= 1 -Probability that pucks produced by a factory can be used= 1-0.977 = 0.023 = 2.3%

Work Step by Step

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