While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The robability density p(x) for having dropped the glove a kilometers from home (along the road) is p(x) = 2e-2 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 a kilometers from home (along the road) is
p(x) = 2e-2 for x ≥ 0
a. What is the probability that you dropped it within 1 kilometer of home?
I
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 a kilometers from home (along the road) is p(x) = 2e-2 for x ≥ 0 a. What is the probability that you dropped it within 1 kilometer of home? I 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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