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APU Math302 Statistics Quiz 2

See Attachment for moreaccurate quiz. Some tablesdid not post here.Question 1 of 20

1.0 Points

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If
A and B are any two events with P(A) = .8 and P(B|A) = .4, then the joint
probability of A and B is

A.0.40

B.0.80

C.0.32

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D.1.20

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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.Cannot
be determined from the information given.

B.0.00

C.0.50

D.1.00

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Question 3 of 20

1.0 Points

In a recent study, the following
data were obtained in response to the question, “Do you favor recycling in
your neighborhood?”

Yes

No

No Opinion

Males

25

15

10

Females

30

10

10

If a person is picked at
random, what is the probability that the person is either male or has no
opinion regarding recycling?

A.3/5

B.3/10

C.4/5

D.7/10

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Question 4 of 20

1.0 Points

If
A and B are any two events with P(A) = .8 and .7f$ " src="data:image/png;base64,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">then is:

A..24

B.0.875

C.0.56

D.0.14

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Question 5 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.conditional

B.independent

C.unilateral

D.mutually
exclusive

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Part
2 of 6 -

Question 6 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 greater than 30 batteries will last at least 8
hours?

A.0.9522

B.0.9152

C.0.0848

D.0.8594

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Question 7 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.0.667

B.0.138

C.0.179

D.0.862

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Question 8 of 20

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

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Question 9 of 20

1.0 Points

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

A.infinite

B.odd

C.random

D.fixed

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Question 10 of 20

1.0 Points

If
a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets
a sum of three, he wins $20. The cost to play the game is
$5. What is the expectation of this game?

A.$3.06

B.-$2.78

C.-$3.06

D.$2.78

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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.
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 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.

It has been observed that electrical connectors manufactured by Jolt Electrical
Supply Company last an average of 18.2 months and follow a normal
distribution with a standard deviation of 1.7 months. Jolt agrees to
replace any connector that fails within 19 months. Out of 500 connectors
sold, how many does Jolt expect to replace, on average? Place your answer,
rounded to the nearest whole number, in the blank. For example, 123 would
be a legitimate answer.

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 a history class, students take a weekly multiple choice quiz consisting
of 6 questions, each with 4 possible answers. If a student randomly guesses
at the answer to each question for every quiz, then what is the mean number
of correct answers the student will get on each quiz?

Round your answer to one decimal place as necessary. For example, 4.5
would be a legitimate entry.

Answer:

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.

Suppose that the probability
that a new medication will cause a bad side effect is 0.03. If this
medication is given to 150 people, what is the probability that exactly
three of them will experience a bad side effect? Place your answer,
rounded to 4 decimal places, in the blank.

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:

= chocolate chosen
= strawberry chosen
= vanilla chosen
= ice cream on a
cone
ice cream in a cup

Find the probability that the ice cream was sold on a cone and was
chocolate flavor. 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.
According to an Internet posting, 80% of adults enjoy
drinking beer. If a group of 3 adults is selected at random, find the
probability that none of them enjoy drinking
beer.

Place your answer,rounded to
three decimal places, in the blank. When
entering your answer do not use any labels or symbols other than a decimal
point. Simply provide the numerical value. For example,
0.123 would be 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.

A jar contains four white marbles, five red marbles, and six black marbles.
If a marble was selected at random, find the probability that it is white
or black. Place your answer, rounded to 2 decimal places in the blank. For
example 0.23 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.

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. What is the probability that at least
two of the three vice presidents can attend the meeting? Place your answer,
rounded to 3 decimal places, in the blank. For example, 0.123 would be a
legitimate entry.

Part
5 of 6 -

Question 19 of 20

1.0 Points

Suppose
A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.5, then
P(A or B) = 0.70.

True

False

Part
6 of 6 -

Question 20 of 20

1.0 Points

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

True

False