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According to geologists,the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?


A) 0.0067
B) 0.0337
C) 0.1353
D) 0.2707

E) A) and B)
F) A) and C)

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A construction company found that on average its workers get into four car accidents per week. a.What is the probability of exactly six car accidents in a random week? b.What is the probability that there are fewer than two car accidents in a random week? c.What is the probability that there are exactly eight car accidents over the course of three weeks?

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For a Poisson random variable X,the prob...

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An urn contains 12 balls,five of which are red.The selection of a red ball is desired and is therefore considered to be a success.If a person draws three balls from the urn,what is the probability of two successes?


A) 0.1591
B) 0.3182
C) 0.6810
D) 0.8409

E) A) and B)
F) A) and C)

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Consider the following cumulative distribution function for the discrete random variable X. Consider the following cumulative distribution function for the discrete random variable X.   What is the probability that X is greater than 2? A)  0.14 B)  0.30 C)  0.44 D)  0.56 What is the probability that X is greater than 2?


A) 0.14
B) 0.30
C) 0.44
D) 0.56

E) A) and C)
F) C) and D)

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The variance of a random variable X provides us with a measure of central location of the distribution of X.

A) True
B) False

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On a particular production line,the likelihood that a light bulb is defective is 5%.Ten light bulbs are randomly selected.What is the probability that none of the light bulbs will be defective?


A) 0.0105
B) 0.0746
C) 0.3151
D) 0.5987

E) A) and B)
F) B) and D)

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An urn contains 12 balls,five of which are red.Selection of a red ball is desired and is therefore considered to be a success.If three balls are selected,what is the expected value of the distribution of the number of selected red balls?


A) 0.4167
B) 0.8333
C) 0.5833
D) 1.2500

E) A) and D)
F) None of the above

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It is known that 10% of the calculators shipped from a particular factory are defective.What is the probability that none in a random sample of four calculators is defective?


A) 0.0010
B) 0.2916
C) 0.3439
D) 0.6561

E) A) and B)
F) A) and C)

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The following table shows the number of students who did not attend statistics class over the 30 class meetings last semester. The following table shows the number of students who did not attend statistics class over the 30 class meetings last semester.   What is the probability that there will be more than one student absent in class today? A)  0.54 B)  0.87 C)  0.70 D)  0.63 What is the probability that there will be more than one student absent in class today?


A) 0.54
B) 0.87
C) 0.70
D) 0.63

E) B) and C)
F) All of the above

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According to the Mortgage Bankers Association,8% of U.S.mortgages were delinquent in 2011.A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.A random sample of eight mortgages was selected.What is the probability that exactly one of these mortgages is delinquent?


A) 0.1296
B) 0.3570
C) 0.4926
D) 0.6157

E) All of the above
F) B) and C)

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The number of syntactic errors found in a program code would best be described using a Poisson probability distribution.

A) True
B) False

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A consumer who is risk averse is best characterized as _____________________________________________________.


A) a consumer who may accept a risky prospect even if the expected gain is negative
B) a consumer who demands a positive expected gain as compensation for taking risk
C) a consumer who completely ignores risk and makes his or her decisions based solely on expected values
D) None of the above

E) None of the above
F) C) and D)

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What is a characteristic of the mass function of a discrete random variable X?


A) The sum of probabilities P(X =x) over all possible values x is 1.
B) For every possible value x,the probability P(X =x) is between 0 and 1.
C) Describes all possible values x with the associated probabilities P(X =x) .
D) All the above.

E) None of the above
F) A) and B)

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The Excel's function HYPERGEOM.DIST can be used to solve hypergeometric probabilities.

A) True
B) False

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Consider the following cumulative distribution function for the discrete random variable. Consider the following cumulative distribution function for the discrete random variable.   What is the probability that X equals 2? A)  0.14 B)  0.30 C)  0.44 D)  0.56 What is the probability that X equals 2?


A) 0.14
B) 0.30
C) 0.44
D) 0.56

E) None of the above
F) B) and D)

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A probability distribution of a continuous random variable X gives the probability that X takes on a particular value x,P(X = x).

A) True
B) False

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There are currently 18 pit bulls at the pound.Of the 18 pit bulls,four have attacked another dog in the last year.Joe,a member of the staff,randomly selects six of the pit bulls for his group.What is the probability that exactly one of the pit bulls in Joe's group attacked another dog last year?


A) 0.1618
B) 0.3235
C) 0.4314
D) 0.4853

E) A) and D)
F) All of the above

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A random variable is a function that assigns numerical values to the outcomes of a random experiment.

A) True
B) False

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Cars arrive randomly at a tollbooth at a rate of 20 cars per 10 minutes during rush hour.What is the probability that exactly five cars will arrive over a five-minute interval during rush hour?


A) 0.0378
B) 0.0500
C) 0.1251
D) 0.5000

E) All of the above
F) A) and B)

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Studies have shown that bats can consume an average of 10 mosquitoes per minute.What is the probability that a bat consumes four mosquitoes in a 30-second interval?


A) 0.1404
B) 0.1755
C) 0.3159
D) 0.0189

E) A) and B)
F) B) and C)

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