stats quiz

Project Description:

part 1 of 6 -

question 1 of 20
1.0 points
if a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes?
a.48
b.16
c.28
d.3
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question 2 of 20
1.0 points
if two events are mutually exclusive, what is the probability that both occur at the same time?
a.0.00
b.1.00
c.cannot be determined from the information given.
d.0.50
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question 3 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 4 of 20
1.0 points
the result of tossing a coin once will be either head or tail. let a and b be the events of observing head and tail, respectively. the events a and b are:
a.mutually exclusive
b.conditional
c.unilateral
d.independent
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question 5 of 20
1.0 points
what is the probability of drawing two queens in a row from a standard deck of cards without replacement?
a.0.0385
b.0.0059
c.0.0045
d.0.0015
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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.0.80
c.0.55
d.0.20
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question 7 of 20
1.0 points
in a small town, 60% of the households have dogs. if 5 households are randomly selected, what is the probability that at least 4 of them have dogs?
a.3
b.0.8
c.0.259
d.0.337
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question 8 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.3.24
b.1.24
c.2.0
d.1.58
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question 9 of 20
1.0 points
suppose that 50 identical batteries are being tested. after 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.

what is the probability that fewer than 25 batteries will last at least 8 hours?
a.0.0024
b.0.9991
c.0.8967
d.0.0009
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question 10 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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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 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 variance of x? place your answer, rounded to two decimal places in the blank. for example, 4.56 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.

ann is applying for a bank loan to open a pizza franchise. she must first complete a written application and then, if the written application is approved, be interviewed by bank officers. if an applicant’s written application is not approved the applicant is not granted an interview with the bank officers. past records for this bank show that the probability of an applicant having his or her written application approved is 0.63. records also indicate that the interviewing committee of bank officers approves 85% of the individuals they interview. find the probability that ann’s loan request is approved. place your answer, rounded to 2 decimal places, in the blank. for example, 0.76 would be a legitimate entry.

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.

if 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts? place your answer, rounded to four 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(x f$leq f$ 2). 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.

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 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


given that alcohol was not involved, what proportion of the accidents involved a single vehicle? place your answer, rounded to 2 decimal places, in the blank. for example, 0.23 is a legitimate answer.

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.

if a coin is tossed seven times, how many different outcomes are possible? place your answer in the blank. do not use any decimal places or commas. for example, 345 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 scient
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