16.(1 pt)The following density function describes a random variableX.f(x) =x64if 0<x<8andf(x) =16-x64if 8<x<16.Draw a graph of the density function and then use it to findthe probabilities below:A. Find the probability thatXlies between 1 and 7.0.8046875•0.7187517.(1 pt) While taking a walk along the road where you live,you accidentally drop your glove, but you don’t know where.The probability densityp(x)for having dropped the glovexkilometers from home (along the road) isp(x) =4e-4xforx≥0(1) What is the probability that you dropped it within 1kilometer of home?B. Find the probability thatXlies between 7 and 12.•0.4921875•0.8046875•0.7187517.(1 pt) While taking a walk along the road where you live,you accidentally drop your glove, but you don’t know where.The probability densityp(x)for having dropped the glovexkilometers from home (along the road) isp(x) =4e-4xforx≥0(1) What is the probability that you dropped it within 1kilometer of home?

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Probability =C. Find the probability thatXis less than 11.yfrom home is the probability thatyou dropped it withinykm of home equal to 0.95?D. Find the probability thatXis greater than 6.(2) At what distanceyfrom home is the probability thatyou dropped it withinykm of home equal to 0.95?

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