Practice for Test 2
1.
A certain children’s game uses a spinner instead of a die to determine movement.
The spinner is shown below. Find the probability distribution for the outcome of
this device, where the outcome is a single spin.
X
P(x)
1
1/2
2
1/6
3
1/6
4
1/6
2.
Feeling bored Helen decided to build a catapult
with Popsicle sticks. Using juice glasses, which
she placed at different distances for targets she
proceeded to launch 1000 pinto beans. She then
recorded the number of beans in each glass
scoring it as worth the same number of points as
the label on the glass or 0 (missed
all of the
glasses). The results below show the count in
each of the 6 categories. Use this information to
record the mean and standard deviation for the points on a single launch.
X
n(x)
P(x)
xP(x)
x
2
P(x)
0
591
0.59
1
0.00
0
0.000
1
133
0.13
3
0.13
3
0.133
2
114
0.11
4
0.22
8
0.456
3
101
0.10
1
0.30
3
0.909
4
35
0.03
5
0.14
0
0.560
5
26
0.02
6
0.13
0
0.650
sum
0.93
4
2.708
μ
= 0.934,
σ
= 1.355
3.
An autonomous rover for planetary exploration was being tested with the
following instruction set. Obtain a sample of weight, X, remove from it a portion
of weight, Y, for a destructive test. Place the remainder in a bin to be returned to
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 Spring '08
 Brown
 Statistics, Normal Distribution, Probability, Standard Deviation, Mean, long run likelihood

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