Math 324Fall 2009Review section1.The Insurance Institute for Highway Safety publishes data on the totaldamage suffered by compact automobiles in a series of controlled, low-speedcollisions. The cost for a sample of 9 cars, in hundreds of dollars, is providedbelow.10681043.57.589a)Find the mean cost.b) Find quartiles for the above data, draw a boxplot.c)Estimate a 95% confidence interval for the population mean.2.Ten equally-qualified marketing assistants are candidates for promotionto associate buyer; seven are men and three are women. If the company intendsto promote four of the then at random, what is the probability that exactly twoof the four are women?3.The random variable X has the density functionfx(x) =‰0,|x|>11- |x|,|x| ≤1.CalculateP(-0.3< X <0.6)4.The number of large cracks in length of pavement along certain streethas a Poisson distribution with the mean of 2 cracks per 100 m.a) What is the probability that there will be 8 cracks in a 300 m lengthpavement?
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