# MATHEMATICS

uestion 1 of 25 1.0 Points

Gender and State are examples of which type of data?
A.Categorical data
B.Continuous data
C.Discrete data
D.Ordinal data

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Part 2 of 9 –

Question 2 of 25 1.0 Points

If two events are mutually exclusive, what is the probability that both occur at the same time?
A.1.00
B.Cannot be determined from the information given.
C.0.50
D.0.00

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Question 3 of 25 1.0 Points

If the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is:

A.0.38
B.-0.38
C.0.62
D.1.38

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Part 3 of 9 –

Question 4 of 25 1.0 Points

Find the variance of the following probability distribution.

X P(X)
1 0.10
2 0.35
3 0.10
4 0.15
5 0.30

A.1.44
B.2.06
C.1.76
D.1.2

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Question 5 of 25 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.2.50
B.2.34
C.4.32
D.3.42

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Question 6 of 25 1.0 Points

The probability distribution associated with the number of cartoons watched by Mrs. Kelly’s first grade class on Saturday morning is shown below.

x P(x)
0 0.15
1 0.20
2 0.30
3 0.10
4 0.20
5 0.05

Find the standard deviation for the probability distribution above.

A.1.46
B.2.25
C.1.89
D.1.18

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Part 4 of 9 –

Question 7 of 25 1.0 Points

The standard deviation of is usually called the
A.randomized standard error
B.standard error of the population
C.standard error of the mean
D.standard error of the sample

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Question 8 of 25 1.0 Points

If Z is a standard normal random variable, the area between z = 0.0 and z =1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332. What is the area between z = -1.30 and z = 1.50?
A.0.0668
B.0.0968
C.0.8364
D.0.0300

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Question 9 of 25 1.0 Points

Given that Z is a standard normal random variable, P(-1.0 < Z < 1.5) is
A.0.9332
B.0.7745
C.0.0919
D.0.8413

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Question 10 of 25 1.0 Points

If Z is a standard normal random variable, then the value z for which P(-z < Z < z) equals 0.8764 is
A.3.08
B.0.3764
C.1.16
D.1.54

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Question 11 of 25 1.0 Points

The mean of a probability distribution is a:
A.measure of central location
B.measure of variability of the distribution
C.measure of skewness of the distribution
D.measure of relative likelihood

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Question 12 of 25 1.0 Points

The standard deviation of a probability distribution is a:
A.measure of variability of the distribution
B.measure of central location

C.measure of skewness of the distribution
D.measure of relative likelihood

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Part 5 of 9 –

Question 13 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.

Part 6 of 9 –

Question 14 of 25 1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

Number of Products Purchased
Brands Purchased Fewer Same More Total
Same 10 14 24 48
Changed 262 82 8 352
Total 272 96 32 400

What is the probability that a consumer selected at random purchased the same number or more products than before? Place your answer, rounded to 4 decimal places, in the blank.

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