Midterm Exam
Midterm Exam_MATH302
Question 1 of 25
0.0/ 1.0 Points
Which of the following statistics is not a measure of central location?
A.Interquartile range (CORRECT)
B.Median
C.Mode
D.Mean
Question 2 of 25
1.0/ 1.0 Points
If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to
A.0.0 (CORRECT)
B.1.0
C.0.5
D.any value between 0.5 and 1.0
Question 3 of 25
1.0/ 1.0 Points
The table below shows the preferences for elective courses of students who are undecided about their majors. Philosophy
Digital Art
Film Studies
Male
9
16
22
Female
6
18
14
What is the probability of randomly selecting a student who is female or prefers Digital Art?
A.84.7%
B.63.5% (CORRECT)
C.21.2%
D.46.2%
Question 4 of 25
1.0/ 1.0 Points
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x
0
1
2
3
4
5 P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10
Find P(1 < X < 5)
A.0.30
B.0.45 (CORRECT)
C.0.20
D.0.70
Question 5 of 25
1.0/ 1.0 Points
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x 0
1
2
3
4
5
P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10
What is the variance of X?
A.4.32
B.2.50 (CORRECT)
C.3.42
D.2.34
Question 6 of 25
0.0/ 1.0 Points
Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
What is the probability that fewer than 25 batteries will last at least 8 hours?
A.0.8967
B.0.9991
C.0.0009 (CORRECT)
D.0.0024
Question 7 of 25
1.0/ 1.0 Points
The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.
A.1 and 0
B.0 and 0
C.0 and 1 (CORRECT)
D.1 and 1
Question 8
Question 1 of 25
0.0/ 1.0 Points
Which of the following statistics is not a measure of central location?
A.Interquartile range (CORRECT)
B.Median
C.Mode
D.Mean
Question 2 of 25
1.0/ 1.0 Points
If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to
A.0.0 (CORRECT)
B.1.0
C.0.5
D.any value between 0.5 and 1.0
Question 3 of 25
1.0/ 1.0 Points
The table below shows the preferences for elective courses of students who are undecided about their majors. Philosophy
Digital Art
Film Studies
Male
9
16
22
Female
6
18
14
What is the probability of randomly selecting a student who is female or prefers Digital Art?
A.84.7%
B.63.5% (CORRECT)
C.21.2%
D.46.2%
Question 4 of 25
1.0/ 1.0 Points
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x
0
1
2
3
4
5 P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10
Find P(1 < X < 5)
A.0.30
B.0.45 (CORRECT)
C.0.20
D.0.70
Question 5 of 25
1.0/ 1.0 Points
The following data were obtained from a survey of college students. The variable X represents the number of non-assigned books read during the past six months. x 0
1
2
3
4
5
P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10
What is the variance of X?
A.4.32
B.2.50 (CORRECT)
C.3.42
D.2.34
Question 6 of 25
0.0/ 1.0 Points
Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
What is the probability that fewer than 25 batteries will last at least 8 hours?
A.0.8967
B.0.9991
C.0.0009 (CORRECT)
D.0.0024
Question 7 of 25
1.0/ 1.0 Points
The standard normal distribution has a mean of ___ and standard deviation of ___, respectively.
A.1 and 0
B.0 and 0
C.0 and 1 (CORRECT)
D.1 and 1
Question 8