Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 3 - Section 3-6 - Binomial Distribution - Exercises - Page 85: 3-100

Answer

$$\approx 0.66897$$

Work Step by Step

There are $40$ circuits, which crash independently with probability $0.01 .$ For the result to work, all $40$ circuits have to mange properly. This directly gives: $$ \mathbb{P}(\text { product works })=(1-0.01)^{40}=0.99^{40} \approx 0.66897 $$
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