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, lowspeed
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 equallyqualified 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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 Spring '08
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