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ST 351
Midterm 2 – 70 points
Fall 2005
Form 2
Name
Lecture
Time
Last 3 digits of Student ID #
Part I: Multiple Choice. Darken the circle of the best answer on the Scantron sheet. (34 points
possible:
2 points each, except where noted)
1.
P(Z = 1.00) =
a.
0
b.
0.1587
c.
0.8413
d.
0.6826
e.
0.3174
2.
P(2.4 < Z < 1.5) =
a.
0.925
b.
0.075
c.
0.9414
d.
0.1336
e.
1.0586
Use the following situation to answer questions 3 through 6
Two dice (a red die and a green die) are rolled together. Let A = red die is a 6. Let B = green die is a 5.
3.
B is the complement of A.
a.
This statement is true.
b.
This statement is not true.
c.
The truth of this statement cannot be determined from the information given.
4.
A and B are independent.
a.
This statement is true.
b.
This statement is not true.
c.
The truth of this statement cannot be determined from the information given.
5.
A and B are disjoint.
a.
This statement is true.
b.
This statement is not true.
c.
The truth of this statement cannot be determined from the information given.
6.
Suppose the two dice are not fair and that P(A) = 0.2 and P(B)= 0.15. Calculate P(A and B).
a.
0
b.
0.35
c.
0.32
d.
0.03
e.
0.30
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View Full DocumentUse the following situation to answer questions 7 and 8
A family has three children. The probability that any one of their children will have blue eyes is 0.20. Each
child’s eye color is independent of any other child’s eye color. Let X = the number of children with blue eyes.
7.
X is
a.
independent.
b.
a categorical variable.
c.
a continuous random variable.
d.
a discrete random variable.
e.
normally distributed.
8.
(3 points)
Calculate the probability that exactly
one child will have blue eyes. What is the first
digit after
the decimal point?
a.
0
b.
1
c.
2
d.
3
e.
4
9.
As the sample size gets larger, the distribution of sample means
a.
has a smaller standard deviation
b.
has a smaller mean
c.
looks more like the distribution of the data in the population
d.
all of the above
e.
only a and b above
10.
The distribution of sample means will be approximately normal if
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 Spring '05
 KOLLATH

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