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APU math302 quiz 2

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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:

 

 

A.addition rule

 

 

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 # 30 | Written in 8:15 am

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