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 æ kilometers from home (along the road) is -8x p(x) = 8e 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? km

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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While taking a walk along the road where you live, you accidentally drop your glove, but
where. The probability density p(x) for having dropped the glove a kilometers from home (along the road) is
you
don't know
-8x
p(x) = 8e
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?
km
Transcribed Image Text:While taking a walk along the road where you live, you accidentally drop your glove, but where. The probability density p(x) for having dropped the glove a kilometers from home (along the road) is you don't know -8x p(x) = 8e 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? km
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