math302 statics amu/apu

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

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. Find the mean of the
probability distribution:

X
0
1
2
3
4

P(X)
0.12
0.16
0.24
0.30
0.18Round your
answer to two decimal place as necessary. For example, 4.56 would be a
legitimate entry.Mean = 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

400Given 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 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:
.apus.edu/cgi-bin/latex.cgi?inline A_%7B1%7D”> = chocolate
chosen
.apus.edu/cgi-bin/latex.cgi?inline A_%7B2%7D”>= strawberry chosen
.apus.edu/cgi-bin/latex.cgi?inline A_%7B3%7D”> = vanilla
chosen
.apus.edu/cgi-bin/latex.cgi?inline B”> = ice cream on a
cone
.apus.edu/cgi-bin/latex.cgi?inline %5Cbar%7BB%7D%3D”>ice cream
in a cupFind
the probability that the ice cream was vanilla 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 4 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.0.0015

B.0.0059

C.0.0385

D.0.0045

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Question 5 of 20
1.0 Points

Three cards are drawn from a deck without replacement. What is the probability
that all three cards are clubs?

A.0.0129

B.0.012

C.0.25

D.0.0156

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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.fixed

B.infinite

C.random

D.odd

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Question 7 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.0.8594

B.0.0848

C.0.9522

D.0.9152

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Question 8 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 between 25 and 30 batteries (inclusive) will last at least
8 hours?

A.0.9169

B.0.1186

C.0.0839

D.0.7792

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Question 9 of 20
1.0 Points

Find the variance of the following probability distribution.

X
P(X)

1
0.30

2
0.15

3
0.05

4
0.25

5
0.25

A.1.73

B.1.61

C.2.60

D.1.27

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Question 10 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.0.862

B.0.179

C.0.138

D.0.667

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