Question: 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)

While taking a walk along the road where you live, you accidentally

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? NOTE: Enter the exact answer or round to three d nal places. The probability is (b) At what distance y from home is the probability that you dropped it within y km of home equal to 0.95? NOTE: Round your answer to three decimal places. y= km

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