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64 Cards in this Set
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What is the difference between a binomial and a hypergeometric distribution?

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.


How many possible experimental outcomes do the binomial distribution and the Poisson distribution have?

Two


What type of population consists of a fixed number of individuals, objects, or measurements?

Finite


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


To construct a binomial distribution we need to know the total number of ___________ and the probability of
a success. 
Trials


A probability distribution shows the outcomes of an experiment and the ___________________ of each one
occurring. 
Probability


In a binomial experiment, the probability of a _________ remains constant.

Success or Failure


In a binomial experiment, what does the probability of a failure equal?

1 probability of success


The Poisson distribution or, the law of improbable events, is _______________ skewed.

positively


A binomial probability distribution approaches a greater degree of symmetry as the probability of success remains constant and the number of trials becomes ____________

larger or greater


If π = 1/3 and n = 900, what is the mean of this binomial distribution?

300


If π = 1/5 and n = 100, what is the standard deviation of this binomial distribution?

four


If n = 900 and π = 1/3, what is the variance of this binomial distribution?

200


A _______________ random variable can assume only a certain number of separated values.

discrete


A continuous random variable can assume one of an ____________ number of values within a specific range.

infinite


In the _______________________ distribution the probability of a success is not the same on each trail.

Hypergeometric


For the hypergeometric distribution there are ________________ possible outcomes.

Only 2


A random variable with a Poisson distribution has one of _______ mutually exclusive values.

Two


In a Poisson distribution each trial is ____________________.

Independent


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


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


Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, highspeed 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


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 indepth 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


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


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


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


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


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


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


Which shape describes a Poisson distribution?
A. Positively skewed B. Negatively skewed C. Symmetrical D. All of the above 
A. Positively skewed


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


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


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


Chances are 5050 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


A truefalse 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


What is the only variable in the Poisson probability formula?
A. π B. x C. e D. P 
B. x


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


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


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 onehour period twentyfive 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


The Poisson probability distribution is always negatively skewed.
True or False 
False


A random variable is assigned numerical values based on the outcomes of an experiment.
True or False 
True


A random variable represents the outcomes of an experiment.
True or False 
True


The probability of a particular outcome, designated X, must always be between 0 and 100 inclusive.
True or False 
False


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


A discrete random variable can have only certain clearly separated values.
True or False 
True


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


A discrete variable may assume fractional or decimal values, but they must have distance between them.

True


For a binomial distribution, each trial has a known number of successes. For example, a four question
multiplechoice test can only have zero, one, two, three and four successes (number correct). True or False 
True


A probability distribution is a mutually exclusive listing of experimental outcomes that can occur by chance
and their corresponding probabilities. True or False 
True


To construct a binomial probability distribution, the number of trials and the probability of success must be
known. True or False 
True


If we measure the weight of a car, the variable is a discrete random variable.
True or False 
False


The Poisson probability distribution is a continuous probability distribution.
True or False 
False


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


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


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


For a binomial distribution, the data collected are the result of counts.

True


When sampling is done without replacement and the outcomes are measured as either a success or failure,
the hypergeometric distribution should be applied. 
True


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


A random variable may be either discrete or continuous.

True


The mean of a probability distribution is called its expected value.

True


The mean of a binomial distribution is the product of n and π .

True


The variance of a binomial distribution is found by nπ (1 π ).

True


In a Poisson distribution, the probability of success may vary from trial to trial.

False


The binomial probability distribution is always negatively skewed.

False
