While taking a walk along the road where you live, you accidentally drop your glove, but you where. The probability density p(x) for having dropped the glove x kilometers from home (alor p(x) = 5e-5 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 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 you don't know
where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is
-5x
p(x) = 5e for x ≥ 0
a. What is the probability that you dropped it within 1 kilometer of home?
J
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 you don't know where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is -5x p(x) = 5e for x ≥ 0 a. What is the probability that you dropped it within 1 kilometer of home? J 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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