Question: While taking a walk along the road where you live, you accidentally drop your glove, but you dont know where. The probability density p(x) for
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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