Question 1 of 20 1.0 Points
If P(A) = P(A|B), then events A and B are said to be
A.exhaustive
B.independent
C.mutually exclusive
D.complementary
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Question 2 of 20 1.0 Points
In a recent study, the following data were obtained in response to the question, "Do you favor recycling in your neighborhood?"
Yes No No Opinion
Males 25 15 10
Females 30 10 10
If a person is picked at random, what is the probability that the person is either male or has no opinion regarding recycling?
A.3/5
B.3/10
C.4/5
D.7/10
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Question 3 of 20 1.0 Points
The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker?
A.1/4
B.1/8
C.5/8
D.2/5
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Question 4 of 20 1.0 Points
What type of probability uses sample spaces to determine the numerical probability that an event will occur?
A.conditional probability
B.empirical probability
C.subjective probability
D.classical probability
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Question 5 of 20 1.0 Points
If a die is rolled one time, find the probability of getting a number greater than 2.
A.2
B.-1
C.5/6
D.4/6
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Part 2 of 6 -
Question 6 of 20 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( X > 1)
A.0.45
B.0.55
C.0.20
D.0.80
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Question 7 of 20 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 8 of 20 1.0 Points
In one town 33% of the households have a vehicle with all-wheel drive. If 4 households are selected at random, what is the probability that all 4 have vehicles with all-wheel drive?
A.0.0119
B.0.0825
C.0.33
D.0.4662
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Question 9 of 20 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 standard deviation of X?
A.1.58
B.2.0
C.3.24
D.1.24
Question 10 of 20 1
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game?
A.$3.06
B.-$2.78
C.-$3.06
D.$2.78
Part 3 of 6 -
Question 11 of 20 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 annual returns, in percentages, on stocks A and B for three possible states of the economy are given in the table below.
Economy State Probability StockA StockB
Good 0.5 40 20
Average 0.3 20 40
Bad 0.2 10 8
If one invested in StockA, what would be the standard deviation of the percentage return? Place your answer, in percent rounded to 1 decimal place, in the blank. For example, a standard deviation of 10.39 percent would be reported as 10.4. Do not use a percent sign.
Question 12 of 20 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.
What probability value would be needed to complete the following probability distribution?
X -2 -1 0 1 2
P(X) 0.13 0.14 0.16 0.29
Place your answer in the blank.
Question 13 of 20 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 a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the mean and variance of X. Place the mean in the first blank and place the variance in the second blank.
Question 14 of 20 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 fewer products than before and changed brands? Place your answer, rounded to 4 decimal places, in the blank.
Part 4 of 6 -
Question 15 of 20 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.
A lock on a bank vault consists of three dials, each with 30 positions, In order for the vault to open, each of the three dials must be in the correct position. How many different "dial combinations" are there for this lock? Place your answer in the blank. Do not use any decimal places or commas. For example, 12345 would be a legitimate entry.
Question 16 of 20 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 president of a bank is attempting to arrange a meeting with the three vice presidents for a Friday weekly meeting. He believes that each of these three busy individuals, independently of the others, has about 40% chance of being able to attend the meeting. If the meeting will be held only if every vice president can attend, what is the probability that the meeting will take place? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry.
Question 17 of 20 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.
Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role? 1 2 3
Yes 60 110 30 200
No 40 215 45 300
100 325 75
Given alcohol was involved, what proportion of accidents involved a single vehicle?
Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.
Question 18 of 20 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.
A certain system has two components. There are 10 different models of the first component and 10 different of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different systems can the salesman select? Place your answer in the blank. Do NOT use commas. For example, 2350 would be a legitimate response.
Part 5 of 6 -
Question 19 of 20 1.0 Points
Suppose A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.5, then P(A or B) = 0.70.
True
False
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Part 6 of 6 -
Question 20 of 20 1.0 Points
True or False: The probability of a success must remain the same for each trial in a binomial experiment.
True
Fals