Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 6 - Review - Test - Page 357: 11a

Answer

$P(4)=0.195$ On about 195 of every 1000 days, there will be exactly 4 cars arriving between 4:00 p.m. and 4:10 p.m.

Work Step by Step

$P(x)=\frac{(λt)^x}{x!}e^{-λt}$ λ = 0.41 -> (0.41 car every minute) t = 10 -> ($4:10~P.M.-4:00~P.M.=10~min$) $P(4)=\frac{(0.41\times10)^4}{4!}e^{-0.41\times10}=\frac{282.5761}{24}e^{-4.1}=0.195$
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