OPRE 3360

Which of the following is NOT a characteristic of an experiment where the binomial probability distribution is applicable?

The trials are dependent upon one another.

Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable?

There are exactly two outcomes possible on each trial.

Which of the following statements about discrete distributions is not true?

When calculating probabilities for discrete distributions,p(x < 1) and the P(x ≤ 1) will result in the same value.

In statistical experiments, each time the experiment is repeated:

a different outcome might occur.

A continuous random variable may assume:

any numerical value in an interval or collection of intervals.

Let A = Roll a 2 on a fair six-sided die. Let B = Do not roll a 2 on a fair six-sided die. Events A and B are:

both mutually exclusive and complementary. *Events A and B are both mutually exclusive and complementary. Mutually exclusive events are events that have no sample points in common. The complement of an event A is the event consisting of all sample points that are not in A. See Section 4.3, Some Basic Relationships of Probability.

The Poisson probability distribution is a:

discrete probability distribution.

A measure of the average value of a random variable is called a(n):

expected value.

To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the:

hypergeometric probability distribution.

Two events are mutually exclusive:

if they have no sample points in common.

Bayes' theorem is used to compute:

posterior probabilities of an event and its complement.

The addition law is potentially helpful when we are interested in computing the probability of:

the union of two events.

A graphical representation that helps in visualizing a multiple-step experiment is called a:

tree diagram.

The range of values for a probability is:

zero to one.

The set of all possible outcomes of an experiment is:

the sample space.

The probability of any event is:

the sum of the probabilities of the sample points in the event.

Suppose P(A) = .50 and P(B) = .30. If A and B are mutually exclusive, what is P(A ∩ B)?

0

Which of the following graphical displays is helpful when using Bayes' theorem to calculate a probability?

A tree diagram

Which of the following statements about an event and its complement is false?

An event and its complement are always independent.

If two events, A and B, are independent, then:

None of these alternatives is correct.

The collection of all possible sample points in an experiment is:

the sample space.

Which one of these variables is a discrete random variable

The number of unbroken eggs in a carton

Two events with nonzero probabilities:

cannot be both mutually exclusive and independent.

An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:

continuous random variable.

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the:

counting rule for permutations.

Posterior probabilities are:

revised probabilities of events based on additional information.

A method of assigning probabilities based upon judgment is referred to as the:

subjective method.

The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution:

the probability of success changes from trial to trial.