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##### APU math302 quiz 2

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solution

Question

Question 1 of 20

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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Question 2 of 20

1.0 Points

If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to

A.0.5

B.1.0

C.any value between 0.5 and 1.0

D.0.0

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Question 3 of 20

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.46.2%

B.84.7%

C.63.5%

D.21.2%

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Question 4 of 20

1.0 Points

f\$P(ar{A})=1-P(A)f\$ is the:

B.rule of opposites

C.rule of complements

D.commutative rule

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Question 5 of 20

1.0 Points

A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at random, find the probability that it is white or black .

A.2/15

B.2/3

C.1/5

D.2/5

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Part 2 of 6 -

Question 6 of 20

1.0 Points

One of the requirements for a binomial experiment is that there must be a(n) _____ number of trials.

A.odd

B.random

C.infinite

D.fixed

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Question 7 of 20

1.0 Points

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

A.0.19

B.0.17

C.0.08

D.0.23

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Question 8 of 20

1.0 Points

A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit?

A.0.138

B.0.179

C.0.667

D.0.862

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Question 9 of 20

1.0 Points

We assume that the outcomes of successive trials in a binomial experiment are:

A.identical from trial to trial

B.probabilistically dependent

C.probabilistically independent

D.random numbers between 0 and 1

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Question 10 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

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 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

6

P (X=x)

0.55

0.15

0.10

0.10

0.04

0.03

0.03

Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry.

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.

Find the mean of the distribution shown below.

X 0 1 2

P(X) 0.24 0.31 0.45

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.

Mean =

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 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

Given that a consumer changed brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the 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.

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

6

P (X=x)

0.55

0.15

0.10

0.10

0.04

0.03

0.03

Find P(1 < X < 5). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry.

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.

Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that only one of the questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is 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.

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

What proportion of accidents involved more than one vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is 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.

An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

f\$A_{1}f\$ = chocolate chosen

f\$A_{2}f\$ = strawberry chosen

f\$A_{3}f\$ = vanilla chosen

f\$Bf\$ = ice cream on a cone

f\$ar{B}=f\$ ice cream in a cup

Find the probability that the ice cream was strawberry flavor, given that it was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be 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.

An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

f\$A_{1}f\$ = chocolate chosen

f\$A_{2}f\$ = strawberry chosen

f\$A_{3}f\$ = vanilla chosen

f\$Bf\$ = ice cream on a cone

f\$ar{B}=f\$ ice cream in a cup

Find the probability that the ice cream was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

Part 5 of 6 -

Question 19 of 20

1.0 Points

True or False: When the outcome or occurrence of the first event does not affect the outcome or occurrence of the second event in such a way that the probability is changed, the events are said to be dependent.

True

False

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Part 6 of 6 -

Question 20 of 20

1.0 Points

The binomial distribution is a discrete distribution that deals with a sequence of identical trials, each of which has only two possible outcomes.

True

False

Paper#60994 | Written in 11-Jan-2016

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