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64 Cards in this Set
- Front
- Back
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What is the difference between a binomial and a hypergeometric distribution?
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For a binomial distribution, the trials are independent and the probability of a success is the same from trial to trial. For a hypergeometric distribution, the trials are not independent and the probability of a success is not the same from trial to trial.
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How many possible experimental outcomes do the binomial distribution and the Poisson distribution have?
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Two
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What type of population consists of a fixed number of individuals, objects, or measurements?
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Finite
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A probability distribution is a listing of the expected outcomes of an experiment and the probability of each
outcome occurring. What is the sum of the probabilities? |
one
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To construct a binomial distribution we need to know the total number of ___________ and the probability of
a success. |
Trials
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A probability distribution shows the outcomes of an experiment and the ___________________ of each one
occurring. |
Probability
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In a binomial experiment, the probability of a _________ remains constant.
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Success or Failure
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In a binomial experiment, what does the probability of a failure equal?
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1- probability of success
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The Poisson distribution or, the law of improbable events, is _______________ skewed.
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positively
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A binomial probability distribution approaches a greater degree of symmetry as the probability of success remains constant and the number of trials becomes ____________
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larger or greater
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If π = 1/3 and n = 900, what is the mean of this binomial distribution?
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300
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If π = 1/5 and n = 100, what is the standard deviation of this binomial distribution?
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four
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If n = 900 and π = 1/3, what is the variance of this binomial distribution?
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200
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A _______________ random variable can assume only a certain number of separated values.
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discrete
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A continuous random variable can assume one of an ____________ number of values within a specific range.
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infinite
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In the _______________________ distribution the probability of a success is not the same on each trail.
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Hypergeometric
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For the hypergeometric distribution there are ________________ possible outcomes.
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Only 2
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A random variable with a Poisson distribution has one of _______ mutually exclusive values.
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Two
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In a Poisson distribution each trial is ____________________.
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Independent
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If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?
A. 0.6 B. 1.9 C. 6.0 D. 12.96 |
B.1.9
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Sixty percent of the customers of a fast food chain order the Whopper, french fries and a drink. If a random
sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered? A. 1,000 B. 0.186 C. 0.403 D. 0.000 |
C. 0.403
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Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero
keyboards will be defective? A. 0.001 B. 0.167 C. 0.735 D. 0.500 |
C. 0.735
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On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
A. 0.002 B. 0.344 C. 0.599 D. 0.100 |
C. 0.599
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An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of
probability, what is the likelihood that the agent will sell a policy to 3 of the 4 prospective clients? A. 0.250 B. 0.500 C. 0.410 D. 0.026 |
D. 0.026
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In which of the following discrete distribution does the probability of a success vary from one trial to the
next? A. Binomial B. Poisson C. Hypergeometric D. All of the above |
C. Hypergeometric
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Which of the following is a requirement for use of the hypergeometric distribution?
A. Only 2 possible outcomes B. Trials are independent C. Probability of a success is greater than 1.0 D. All of the above |
A. Only 2 possible outcomes
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What is a listing of all possible outcomes of an experiment and their corresponding probability of
occurrence called? A. Random variable B. Probability distribution C. Subjective probability D. Frequency distribution |
B. Probability distribution
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Which one of the following is NOT a condition of the binomial distribution?
A. Independent trials B. Only two outcomes C. Probability of success remains constant from trial to trial D. At least 10 observations |
D. At least 10 observations
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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. All of the above are correct |
B. Probability of success remains the same from trial to trial
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Which shape describes a Poisson distribution?
A. Positively skewed B. Negatively skewed C. Symmetrical D. All of the above |
A. Positively skewed
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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 or continuous |
A. Discrete
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Which of the following is correct about a probability distribution?
A. Sum of all possible outcomes must equal 1 B. Outcomes must be mutually exclusive C. Probability of each outcome must be between 0 and 1 inclusive D. All of the above |
D. All of the above
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The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219.14
pounds. What is this an illustration of? A. Continuous random variable B. Discrete random variable C. Complement rule D. All of the above |
A. Continuous random variable
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Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls?
A. 0.900 B. 0.031 C. 0.001 D. 0.250 |
B. 0.031
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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 |
B. 0.016
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What is the only variable in the Poisson probability formula?
A. π B. x C. e D. P |
B. x
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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 E. All of the above are characteristics of the binomial distribution |
D. Each outcome results from two trials
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What must you know to develop a binomial probability distribution?
A. Probability of success B. Number of trials C. Number of successes D. "a" and "b" only E. "a" and "c" only |
D. "a" and "b" only
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David's gasoline station offers 4 cents off per gallon 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.
49. 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 |
C. Binomial probability distribution
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The Poisson probability distribution is always negatively skewed.
True or False |
False
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A random variable is assigned numerical values based on the outcomes of an experiment.
True or False |
True
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A random variable represents the outcomes of an experiment.
True or False |
True
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The probability of a particular outcome, designated X, must always be between 0 and 100 inclusive.
True or False |
False
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If we toss two coins and count the number of heads, there could be 0, 1 or 2 heads. Since the exact number of heads resulting from this experiment is due to chance, the number of heads appearing is a random variable.
True or False |
True
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A discrete random variable can have only certain clearly separated values.
True or False |
True
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If Unique Buying Services has 100 employees, there might be 0, 1, 2, 3 up to 100 employees absent on
Monday. In this case, the day of the week is the random variable. True or False |
False
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A discrete variable may assume fractional or decimal values, but they must have distance between them.
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True
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For a binomial distribution, each trial has a known number of successes. For example, a four question
multiple-choice test can only have zero, one, two, three and four successes (number correct). True or False |
True
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A probability distribution is a mutually exclusive listing of experimental outcomes that can occur by chance
and their corresponding probabilities. True or False |
True
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To construct a binomial probability distribution, the number of trials and the probability of success must be
known. True or False |
True
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If we measure the weight of a car, the variable is a discrete random variable.
True or False |
False
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The Poisson probability distribution is a continuous probability distribution.
True or False |
False
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A binomial distribution has a characteristic that the trials are independent, which means that the outcome of one trial does not affect the outcome of any other trial.
True or False |
True
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For a binomial distribution, outcomes of an experiment are classified into one of two mutually exclusive
categories (a success or a failure). True or False |
True
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For a binomial distribution, the probability of a success stays the same for each trial, but the probability of a
failure varies from trial to trial. True or False |
False
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For a binomial distribution, the data collected are the result of counts.
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True
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When sampling is done without replacement and the outcomes are measured as either a success or failure,
the hypergeometric distribution should be applied. |
True
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A Poisson distribution is a discrete probability distribution. It has the same four characteristics as the
binomial, but in addition, the probability of a success is small and the number of trials is relatively large. |
True
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A random variable may be either discrete or continuous.
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True
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The mean of a probability distribution is called its expected value.
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True
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The mean of a binomial distribution is the product of n and π .
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True
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The variance of a binomial distribution is found by nπ (1 -π ).
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True
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In a Poisson distribution, the probability of success may vary from trial to trial.
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False
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The binomial probability distribution is always negatively skewed.
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False
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