SAMPLE MIDTERM EXAM
STAT 53-10
Spring 2006
Answer all the questions. Please show full work for partial credit.
1)
Consider the following data on the number of hits to a Library website on 14
randomly picked days:
390 406
446
420
370
328
410
320
368
392
280
325
382
290
(a) (12 points) Construct a box plot for the above data?
(b) (4 points) Is the distribution symmetric? Explain.
2)
(18 points) The number of passengers in a car on a freeway is a random variable
with the following probability distribution:
X
1
2
3
4
5
P(x)
0.4
-
0.15
0.1
0.05
(a) Find the probability that there are at most two passengers in a car
(b) Find the mean number of passengers in a car.
(c) Find the probability that the number of passengers in a car is within 1
standard deviation from the mean.
3)
(15 points) A study of the behavior of large number of drug offenders after
treatment for drug abuse suggests that the likelihood of conviction within a two-
year period after treatment may depend on the offender’s education. The
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This note was uploaded on 04/07/2008 for the course STAT 053 taught by Professor Balaji during the Spring '06 term at GWU.
- Spring '06
- Balaji
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