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# samples - Math 324 Fall 2009 Review section 1 The Insurance...

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Math 324 Fall 2009 Review section 1. The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below. 10 6 8 10 4 3.5 7.5 8 9 a)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 promotion to associate buyer; seven are men and three are women. If the company intends to promote four of the then at random, what is the probability that exactly two of the four are women? 3. The random variable X has the density function f x ( x ) = 0 , | x | > 1 1 - | x | , | x | ≤ 1 . Calculate P ( - 0 . 3 < X < 0 . 6) 4. The number of large cracks in length of pavement along certain street has 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 length pavement?
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