STATISTICS Week 5 Quiz

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Question 2 of 20
1.0 Points
If two events are mutually exclusive, what is the probability that one or the other occurs?
 
 
 
 
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Question 3 of 20
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If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to
 
 
 
 
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Question 4 of 20
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The probability of an event and the probability of its complement always sum to:
 
 
 
 
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Question 5 of 20
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If A and B are mutually exclusive events with P(A) = 0.70, then P(B):
 
 
 
 
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Part 2 of 6 -
 
Question 6 of 20
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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)
 
 
 
 
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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
 
 
 
 
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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?
 
 
 
 
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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 
 
 
 
 
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Question 10 of 20
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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?
 
 
 
 
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Part 3 of 6 -
 
Question 11 of 20
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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.  
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Part 6 of 6 -
 
Question 20 of 20
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The standard deviation of a binomial distribution for which n = 100 and p = 0.40 is 24.0.
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