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A multiple-choice test consists of five questions, each with A-E answers. If you guess the answer to each question, what is the probability of getting four or more questions correct?


A) 5.1%
B) 6.4%
C) 0.032%
D) Less than 1%

Correct Answer

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Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that none of the keyboards are defective?


A) 0.167
B) 0.735
C) 0.500
D) 1.00
E) 0.2321

Correct Answer

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What kind of distribution are the binomial and Poisson distributions?


A) Discrete
B) Continuous
C) Both discrete and continuous
D) Neither discrete nor continuous

Correct Answer

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A

The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are: The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are: On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening? A) 10.00 B) 1.00 C) 2.85 D) 1.96 On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening?


A) 10.00
B) 1.00
C) 2.85
D) 1.96

Correct Answer

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C

Which of the following is NOT a characteristic of a binomial probability distribution?


A) Each outcome is mutually exclusive.
B) Each trial is independent.
C) Probability of success remains constant from trial to trial.
D) Each outcome results from two trials.

Correct Answer

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Belk Department Store is having a special sale this weekend. Customers charging purchases of more than $50 to the Belk credit card will be given a special Belk lottery card. The customer will scratch the card, which will indicate the amount to be taken off the total amount of purchase. Listed below is the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase Belk Department Store is having a special sale this weekend. Customers charging purchases of more than $50 to the Belk credit card will be given a special Belk lottery card. The customer will scratch the card, which will indicate the amount to be taken off the total amount of purchase. Listed below is the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase Determine the mean and standard deviation of the prize amount. A) Mean is $21, standard deviation is $16.09 B) Mean is $21, standard deviation is $710.50 C) Mean is $20, standard deviation is $25.00 D) Mean is $20, standard deviation is $26.66 E) Mean is $46.25, standard deviation is $710.50 Determine the mean and standard deviation of the prize amount.


A) Mean is $21, standard deviation is $16.09
B) Mean is $21, standard deviation is $710.50
C) Mean is $20, standard deviation is $25.00
D) Mean is $20, standard deviation is $26.66
E) Mean is $46.25, standard deviation is $710.50

Correct Answer

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(i. A random variable with a Poisson distribution has one of two mutually exclusive values. (ii) For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is not the same on each trail.


A) (i) , (ii) , and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.

Correct Answer

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Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that exactly one woman is selected?


A) 8/15 = 0.533
B) 3/5 = 0.60
C) 2/3 = 0.667
D) 3/4 = 0.75

Correct Answer

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A

What is the following table called? What is the following table called? A) Probability distribution B) Ogive C) Standard deviation D) Frequency table


A) Probability distribution
B) Ogive
C) Standard deviation
D) Frequency table

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(i. A random variable with a Poisson distribution has one of three mutually exclusive values. (ii) For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is not the same on each trail.


A) (i) , (ii) , and (iii) are all correct statements
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.

Correct Answer

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In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 20 graduates selected at random, what is the probability that exactly 8 will go to college?


A) 0.114
B) 0.887
C) 0.400
D) 0.231

Correct Answer

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(i. A random variable with a Poisson distribution has one of two mutually exclusive values. (ii) For the hypergeometric distribution there are only 2 possible outcomes. (iii) In the hypergeometric distribution the probability of a success is the same on each trail.


A) (i) , (ii) , and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (ii) are correct statements but not (iii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.

Correct Answer

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In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. From 10 graduates selected at random, calculate the probability that none will go to college.


A) 0.028%
B) 82%
C) 28%
D) 8.2%
E) 2.8%

Correct Answer

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A true-false test consists of six questions. If you guess the answer to each question, what is the probability of getting all six questions correct?


A) 0
B) 0.016
C) 0.062
D) 0.250

Correct Answer

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Sixty percent of the customers of a fast food chain order a hamburger, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 will show that the above three food items were ordered?


A) 1859
B) 0.7827
C) 0.2066
D) 0.2173
E) 0.4032

Correct Answer

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Which is true for a binomial distribution?


A) There are three or more possible outcomes.
B) Probability of success remains the same from trial to trial.
C) Value of p is equal to 1.50.
D) Value of p is equal to 0.5.

Correct Answer

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i. The random variable for a Poisson probability distribution is discrete. ii. The Poisson probability distribution is always negatively skewed. iii. The Poisson probability distribution has the same four characteristics as the binomial, but in addition, the probability of a success ( π\pi ) is small and the number of trials (n) is relatively large.


A) (i) , (ii) , and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.

Correct Answer

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Which of the following is correct about a probability distribution? (i) Sum of all possible outcomes must equal 1. (ii. Outcomes must be mutually exclusive. (iii) Probability of each outcome must be between 0 and 1 inclusive.


A) (i) , (ii) , and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.

Correct Answer

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David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period twenty-five customers buy gasoline at this station. This situation is an example of what type of discrete probability distribution?


A) Continuous probability distribution
B) Poisson probability distribution
C) Binomial probability distribution
D) Hypergeometric probability distribution

Correct Answer

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Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50-50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?


A) 0.250
B) 0.021
C) 0.006
D) 0.750
E) 0.50

Correct Answer

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