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apu math 302 quiz 2

Question # 00006052
Subject: Statistics
Topic: General Statistics
Due on: 01/31/2014
Posted On: 01/02/2014 11:50 PM

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Question 1 of 20

1.0/ 1.0 Points

If A and B are any two events with P(A) = .8 and f$P(B|ar{A})= .7f$ then f$P(ar{A}igcap{B})f$ is:

A..24

B.0.56

C.0.14

D.0.875

Answer Key:

Question 2 of 20

1.0/ 1.0 Points

Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall. The number of different arrangements of four pictures from a selection of ten pictures is:

A.24

B.210

C.151,200

D.5,040

Answer Key:

Question 3 of 20

1.0/ 1.0 Points

If A and B are mutually exclusive events with P(A) = 0.30 and P(B) = 0.40, then the probability that either A or B or both occur is:

A.0.12

B.0.30

C.0.70

D.0.10

Answer Key:

Question 4 of 20

1.0/ 1.0 Points

If P(A) = P(A|B), then events A and B are said to be

A.mutually exclusive

B.complementary

C.exhaustive

D.independent

Answer Key:

Question 5 of 20

1.0/ 1.0 Points

A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed and then replaced before choosing the next from the machine?

A.0.0264

B.0.0531

C.0.0347

D.0.0482

Answer Key:

Part 2 of 6 - 4.0/ 5.0 Points

Question 6 of 20

1.0/ 1.0 Points

A discrete probability distribution:

A.can be estimated from long-run proportions

B.is a tool that can be used to incorporate uncertainty into models

C.is the distribution of multiple random variables

D.lists all of the possible values of the random variable and their corresponding probabilities

Answer Key:

Question 7 of 20

1.0/ 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.0.667

C.0.862

D.0.179

Answer Key:

Question 8 of 20

0.0/ 1.0 Points

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

A.identical from trial to trial

B.random numbers between 0 and 1

In C.probabilistically dependent

D.probabilistically independent

Answer Key:

Question 9 of 20

1.0/ 1.0 Points

Which term is NOT synonymous with the expected value of a discrete probability distribution?

A.variance

B.theoretical average

C.mean

D.?

Answer Key:

Question 10 of 20

1.0/ 1.0 Points

Find the variance of the following probability distribution.

X P(X)

1 0.20

2 0.15

3 0.25

4 0.25

5 0.15

A.1.34

B.1.8

C.0.48

D.1.16

Answer Key:

Part 3 of 6 - 3.0/ 4.0 Points

Question 11 of 20

1.0/ 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.

It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph? Place your answer, rounded to four decimal places, in the space. .1147

Answer Key:

Question 12 of 20

0.0/ 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. .5984

Answer Key:

Question 13 of 20

1.0/ 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

What is the standard deviation of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 1.62

Answer Key:

Question 14 of 20

1.0/ 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. 0.24

Answer Key:

Part 4 of 6 - 2.0/ 4.0 Points

Question 15 of 20

0.0/ 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. 0.50

Answer Key:

Question 16 of 20

1.0/ 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 bag contains 12 colored balls, each ball being either black or white. The probability of drawing a white ball twice with replacement is 1/16. How many white balls are in the bag? Place your answer in the blank, do not include any decimals or other marks. For example, 7 would be a legitimate entry.

There are 3 white balls in the bag.

Answer Key:

Question 17 of 20

1.0/ 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.

If you have six books, but there is room for only four books on the shelf, in how many ways can these books be arranged on the shelf? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry. 360

Answer Key:

Question 18 of 20

0.0/ 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. .352

Answer Key:

Part 5 of 6 - 1.0/ 1.0 Points

Question 19 of 20

1.0/ 1.0 Points

Two events A and B are said to be independent if P(A and B) = P(A) + P(B)

True

False

Answer Key:

Part 6 of 6 - 0.0/ 1.0 Points

Question 20 of 20

0.0/ 1.0 Points

A binomial experiment has exactly two outcomes, so the probability of any binomial experiment is always 0.5 or 50%.

In

True

False

Answer Key:

Feedback: While it is true that a binomial experiment must have exactly two outcomes, that does not mean the probabilities of the outcomes are 50/50.






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apu math 302 quiz 2

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Tutorial Preview … Question 1 of 20 1.0/ 1.0 Points If A and B are any two events with P(A) = .8 and f$P(B|ar{A})= .7f$ then f$P(ar{A}igcap{B})f$ is: A..24 B.0.56 C.0.14 D.0.875 Answer Key: Question 2 of 20 1.0/ 1.0 Points Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall. The number of different arrangements of four pictures from a selection of ten pictures is: A.24 B.210 C.151,200 D.5,040 Answer Key: Question 3 of 20 1…
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Preview: 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. It has been reported that 3% of all cars on the highway are traveling at speed.....
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