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Probability is the
a. number of successes divided by the standard deviation of the distribution.
b. number of successes divided by the number of failures.
c. numerical measure of the likelihood that an event will occur.
d. chance that an event will not happen. - ANSWER numerical measure of the likelihood that
an event will occur.
A __________ describes the range and relative likelihood of all possible values for a
random variable.
a. probability mass function of an event
b. probability distribution for a random variable
c. probability
d. density function - ANSWER probability distribution for a random variable
The event containing the outcomes belonging to A or B or both is the __________ of
A and B.
a. intersection
b. union
c. Venn diagram
d. complement - ANSWER union
Two events are independent if
a. the probability of one or both events is greater than 1.
b. P(A | B) = P(A) or P(B | A) = P(B).
c. the two events occur at the same time.
All the events in the sample space that are not part of the specified event are called
a. independent events.
b. joint events.
c. simple events.
d. the complement of the event. - ANSWER the complement of the event.
d. None of these choices are correct. - ANSWER b. P(A | B) = P(A) or P(B | A) = P(B).
In the probability table below, which value is a marginal probability?
Completed
Obstacle Course Level
No Yes Total
Challenging 0.4 0.3 0.7
,Easy 0.1 0.2 0.3
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Tota
0.5 0.5 1.0 - ANSWER 0.5
A variable that can only take on specific numeric values is called a a.
discrete random variable. b.
categorical variable.
c. continuous random variable.
d. complex random variable. - ANSWER discrete random variable.
An experiment consists of determining the speed of automobiles on a highway by the use of
radar equipment. The random variable in this experiment is a a. discrete random variable.
b. categorical random variable.
c. continuous random variable.
d. complex random variable. - ANSWER continuous random variable
Which of the following statements is correct?
a. The binomial and normal distributions are both continuous probability
distributions.
b. The binomial distribution is a continuous probability distribution, and the normal
distribution is a discrete probability distribution.
c. The binomial distribution is a discrete probability distribution and the normal distribution is
a continuous probability distribution.
d. The binomial and normal distributions are both discrete probability distributions. -
ANSWER The binomial distribution is a discrete probability distribution and the normal
distribution is a continuous probability distribution.
Which of the following is a discrete random variable? a.
The amount of gasoline purchased by a customer
b. The height of water-oak trees
c. The amount of mercury found in fish caught in the Gulf of Mexico
d. The number of times a student guesses the answers to questions on a certain test - ANSWER
The number of times a student guesses the answers to questions on a certain test
Sample space is
a. the collection of events
b. a process that results in some outcome.
c. a subgroup of a population/the likelihood of an outcome.
d. the collection of all possible outcomes. - ANSWER the collection of all possible outcomes.
All of the following are examples of discrete random variables except
a. marital status.
b. time
c. number of tickets sold.
d. population of a city. - ANSWER time.
, The __________ probability distribution can be used to estimate the number of
vehicles that go through an intersection during the lunch hour. a. binomial b.
triangular
c. Poisson
d. normal - ANSWER Poisson
Which statement is true about mutually exclusive events?
a. If either event A or event B must occur, they are called mutually exclusive.
b. P(A) + P(B) = 1 for any events A and B that are mutually exclusive.
c. If events A and B cannot occur at the same time, they are called mutually
exclusive.
d. None of these choices are correct. - ANSWER If events A and B cannot occur at the same
time, they are called mutually exclusive.
A joint probability is the
a. sum of the probabilities of two events.
b. sum of the probabilities of two independent events.
c. probability of the intersection of two events.
d. probability of the union of two events. - ANSWER probability of the intersection of two
events.
The random variable X is known to be uniformly distributed between 2 and 12.
Compute E(X), the expected value of the distribution.
a. 6
b. 7
c. 4
d. 5 - ANSWER 7
The random variable X is known to be uniformly distributed between 2 and 12.
Compute the standard deviation of X.
a. 8.333
b. 12
c. 2.887
d. 3.464 - ANSWER 2.887
If a z-score is zero, then the corresponding x-value must be equal to the
a. mode.
b. mean.
c. standard deviation.
d. median. - ANSWER mean.
In a normal distribution, which is greater, the mean or the median? a. Mean b.
Median