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# apu math 302 quiz 2

Question # 00006052
Subject: 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

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

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

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

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

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

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

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

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.?

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

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

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

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

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

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

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.

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

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

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

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

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

Tutorial # 00005822
Posted On: 01/02/2014 11:54 PM
Posted By:
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Tutorial Preview …Question x of xx 1 0/ x 0 Points xx A xxx x are xxx two events xxxx P(A) = x and xxxxxxxxxxxxx xxx then xxxxxxxxxxxxxxxxxxxx is: A xx B 0 xx C x xx D x 875 Answer xxxx Question 2 xx 20 x xx 1 x Points Sue xxx 10 pictures xxx only xxx xxxxx in xxx apartment to xxxx 4 of xxxx on x xxxx The xxxxxx of different xxxxxxxxxxxx of four xxxxxxxx from x xxxxxxxxx of xxx pictures is: x 24 B xxx C xxxxxxx x 5,040 xxxxxx Key: Question x of 20 x 0/ x x Points xx A and x are mutually xxxxxxxxx events xxxx xxxx = x 30 and xxxx = 0 xxx then xxx xxxxxxxxxxx that xxxxxx A or x or both xxxxx is: x x 12 x 0 30 x 0 70 x 0 xx xxxxxx Key: xxxxxxxx 4 of xx 1 0/ x 0 xxxxxx xx P(A) x P(A|B), then xxxxxx A and x are xxxx xx be x mutually exclusive x complementary C xxxxxxxxxx D xxxxxxxxxxx xxxxxx Key: xxxxxxxx 5 of xx 1 0/ x 0 xxxxxx x gumball xxxxxxx contains 300 xxxxx flavored balls, xxx cherry xxxxxxxx xxxxxx and xxx lemon flavored xxxxx What is xxx probability xx xxxxxxx 1 xxxxx ball, 1 xxxxxx ball, and x lemon xxxx xx each xxxx was removed xxx then replaced xxxxxx choosing xxx xxxx from xxx machine? A x 0264 B x 0531 x x 0347 x 0 0482 xxxxxx Key: Part x of x x 4 xx 5 0 xxxxxx Question 6 xx 20 x xx 1 x Points A xxxxxxxx probability distribution: x can xx xxxxxxxxx from xxxxxxxx proportions B xx a tool xxxx can xx xxxx to xxxxxxxxxxx uncertainty into xxxxxx C is xxx distribution xx xxxxxxxx random xxxxxxxxx D lists xxx of the xxxxxxxx values xx xxx random xxxxxxxx and their xxxxxxxxxxxxx probabilities Answer xxxx Question x xx 20 x 0/ 1 x Points A xxxx is xxxxxxxx xx benefit xxx of the xxxxxxxx who take xx If x xxxxxxxx take xxx drug, what xx the probability xxxx 4 xx xxxx patients xxxx benefit? A x 138 B x 667 x x 862 x 0 179 xxxxxx Key: Question x of xx x 0/ x 0 Points xx assume that xxx outcomes xx xxxxxxxxxx trials xx a binomial xxxxxxxxxx are: A xxxxxxxxx from xxxxx xx trial x random numbers xxxxxxx 0 and x In x xxxxxxxxxxxxxxxxx dependent x probabilistically independent xxxxxx Key: Question x of xx x 0/ x 0 Points xxxxx term is xxx synonymous xxxx xxx expected xxxxx of a xxxxxxxx probability distribution? x variance x xxxxxxxxxxx average x mean D x Answer Key: xxxxxxxx 10…
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Preview: as xxxxxxxxx separator, x 000), "E" xx "e" (used xx scientific xxxxxxxxx xxxxxxxxxxxx scientific xxxxxxxxx a period xxxx be used xx the xxxxxxx xxxxx marker xxxxxxxxx numbers should xx in the xxxx (a x xxx where xxx and "b" xxxx to have xxxxxxxxxx stated xxxxxx xxxxx example: xxxxxx is valid xxxxxxx {1+i} is xxx {0+9i} xx xxxxx whereas xxxx is not xxxx has been xxxxxxxx that xx xx all xxxx on the xxxxxxx are traveling xx speeds xx xxxxxx of xx mph If xxx speeds of xxxx random xxxxxxxxxxx xxx measured xxx radar, what xx the probability xxxx at xxxxx xxx car xx going over xx mph? Place xxxx answer, xxxxxxx xx four xxxxxxx places, in xxx space   xxxxxxxxxxxx Key: 0 xxxxx xxxxxxxxxxxx 12 xx 200 0/ x 0 PointsAccepted xxxxxxxxxxx numbers, xxxxxxx xxxxx markers xxxxxxx or comma), xxxx indicators (-), xxxxxx (e x x as xxxxxxxxx separator, 5 xxxxx "E" or xxx (used xx xxxxxxxxxx notation) xxxxxxxxxxxx scientific notation, x period MUST xx used xx xxx decimal xxxxx marker  Complex xxxxxxx should be xx the xxxx xx + xxx where "a" xxx "b" need xx have xxxxxxxxxx xxxxxx values xxxxx example: {1+1i} xx valid whereas xxxxx is xxx xxxxxx is xxxxx whereas {9i} xx not  In xxxxxxxx 2002 xxx xxxxxxxxx peso xxxx 70% of xxx value compared xx the xxxxxx xxxxxx dollar xxxxxx devaluation drastically xxxxxx the price xx imported xxxxxxxx xxxxxxxxxxx to x survey conducted xx AC Nielsen xx April xxxxx xxx of xxx consumers in xxxxxxxxx were buying xxxxx products xxxx xxxxxx the xxxxxxxxxxxx 24% were xxxxxx the same xxxxxx of xxxxxxxxx xxx 8% xxxx buying more xxxxxxxx  Furthermore, in x trend xxxxxx xxxxxxxxxx less-expensive xxxxxxx 88% indicated xxxx they had xxxxxxx the xxxxxx xxxx purchased xxxxxxxxx the following xxxxxxxx set of xxxxxxx were xxxxxxxx xxxxx the xxxxxxxxx data to xxxxxx this question xxxxxxxxxxxxxx of xxxxxxxx xxxxxxxxxxxxxxxxx PurchasedFewerSameMoreTotalSame10142448Changed262828352Total2729632400What xx the probability xxxx a consumer xxxxxxxx at xxxxxx xxxxxxxxx fewer xxxxxxxx than before xxx changed brands? Place xxxx answer, xxxxxxx xx 4 xxxxxxx places, in xxx blank    xxxxxxxxxxxx Key: 0 xxxxxxxxxxxx xx of xxx 0/.....
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