# What is the initial condition for your equation y 0 b

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What is the initial condition for your equation?y(0) =B.Solve the differential equation.C.If after one week the student remembers 90 percent of thematerial learned in the semester, and after two weeks remembers86 percent, how much will she or he remember after summer va-cation (about 14 weeks)?Correct Answers:1(1-a)*eˆ(-k*t) + a0.833333+0.166667*eˆ(-12.8281)15.(1 pt) LetXbe a random variable with probability den-sity functionf(x) =c(2x-xFindthecumulativedistributionfunctionofX:F(x) =ifx0if 0<x<2ifx22
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 7.0.80468750.7187517.(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-4xforx0(1) What is the probability that you dropped it within 1kilometer of home?B. Find the probability thatXlies between 7 and 12.0.49218750.80468750.7187517.(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-4xforx0(1) What is the probability that you dropped it within 1kilometer of home?
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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Term
Fall
Professor
MalabikaPramanik
Tags
Math, probability density function
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