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STAT 230
Quiz #1
Sept 29, 2004
For all of the problems below, show your work in the space indicated!
Name:
I.D. No.:
Section No.
[____/12]
1.
Four digits are selected from
1,2,
…
,9
without replacement and randomly
placed in a row.
[4]
(a)
What is your sample space
S
for this random experiment? How many points are in
S
?
A possible choice of sample space
S
1234,2134,3214,.
....6789
i.e. all
arrangements of 4 things taken from 9. There are 9
4
points in this
S
. (notethere are
other alternative solutions as well)
[4]
(b)
What is the probability that the first digit is 1 and last digit is 9?
There is 1 way of choosing the number (1
for the first digit, for each of these, 1 way
of choosing the number 9 for the last digit and 7
6 ways of choosing a numbers
from the remaining for the remaining middle digits. Therefore
1
7
6
1
9
8
7
6
[4]
(c)
What is the probability of the arrangement (odd number,odd number, even number,
even number)?
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 Fall '06
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