Posted: November 5th, 2015

STATISTICS Quiz

STATISTICS  Quiz

Question 2 of 20
1.0 Points
If two events are mutually exclusive, what is the probability that one or the other occurs?
A.1.00
B.Cannot be determined from the information given.
C.0.25
D.0.50
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Question 3 of 20
1.0 Points
If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to
A.any value between 0.5 and 1.0
B.0.5
C.1.0
D.0.0
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Question 4 of 20
1.0 Points
The probability of an event and the probability of its complement always sum to:
A.any value between 0 and 1
B.0
C.1.0
D.any positive value
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Question 5 of 20
1.0 Points
If A and B are mutually exclusive events with P(A) = 0.70, then P(B):
A.can be any value between 0 and 1
B.cannot be determined with the information given
C.can be any value between 0 and 0.70
D.cannot be larger than 0.30
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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.0.55
C.0.20
D.0.80
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Question 7 of 20
1.0 Points
A multiple choice quiz consists of 6 questions, each with 4 possible answers. If a student guesses at the answer to each question, then the mean number of correct answers is
A.6.00
B.1.50
C.4.00
D.10.00
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Question 8 of 20
1.0 Points
In one town 33% of the households have a vehicle with all-wheel drive. If 4 households are selected at random, what is the probability that all 4 have vehicles with all-wheel drive?
A.0.0825
B.0.0119
C.0.4662
D.0.33
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Question 9 of 20
1.0 Points
The binomial distribution can occur in which of the following situations?

I. whenever we are interested in the number of events that occur over a given interval of time

II. whenever we sample from a population with only two types of members

III. whenever we perform a sequence of identical experiments, each of which has only two possible outcomes

A.I only
B.I and II
C.II and III
D.All of the above
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Question 10 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.0.8
B.3
C.0.259
D.0.337
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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

What is the probability that a consumer selected at random purchased the same number or more 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.

Find the mean of the following probability distribution?

1
0.20
2
0.10
3
0.35
4
0.05
5
0.30

Place your answer, rounded to two 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, 1.23 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.

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 more than three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate 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.

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.

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.

A particular brand of women’s jeans is available in seven different sizes, three different colors, and three different styles. How many different jeans does the store manager need to order to have one pair of each type of jean? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 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.

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.

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.

Suppose that a marketing firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with a probability of 0.30. What is the probability that both questionnaires will be returned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is 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.

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
white balls in the bag.

Part 5 of 6 –

Question 19 of 20
1.0 Points
True or False: Two events are mutually exclusive if they cannot occur at the same time.
True
False
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Part 6 of 6 –

Question 20 of 20
1.0 Points
The standard deviation of a binomial distribution for which n = 100 and p = 0.40 is 24.0.
True
False

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