Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 6 - Section 6.3 - Assess Your Understanding - Applying the Concepts - Page 351: 13a

Answer

$P(2)=0.251$ In about 251 of every 1000 5-gram samples, there will be exactly 2 insect fragments.

Work Step by Step

$P(x)=\frac{(λt)^x}{x!}e^{-λt}$ λ = 0.3 -> (0.3 insect fragment per gram) t = 5 -> (5 grams) $P(2)=\frac{(0.3\times5)^2}{2!}e^{-0.3\times5}=\frac{1.5^2}{2}e^{-1.5}=0.251$
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