While taking a walk along the road where you live, you accidentally drop your glove, but you

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While taking a walk along the road where you live, you accidentally drop your glove, but you don’t know where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is

p(x) = 2e−2x for x ≥ 0.

(a) What is the probability that you dropped it within 1 kilometer of home?
(b) At what distance y from home is the probability that you dropped it within y km of home equal to 0.95?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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