Topic 3

32問 • 1年前

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On order to master the pattern of ____________ of things in nature and in our daily lives, a branch of _______________, called probability, was developed in the _____ century.

uncertainty, mathematics, 17th

On order to master the pattern of uncertainty of things in nature and in our daily lives, a branch of mathematics, called _____________, was developed in the 17th century.

probability

A process in which the result __________ be predicted with ____________is called a random experiment.

cannot, certainty

A process in which the result cannot be predicted with certainty is called a ______________.

random experiment

If each outcome has the _____ chance of occurrence, we say that the outcomes are ________ likely to happen. Tossing a fair coin and throwing a fair die are examples of random experiments with ________ likely outcomes

same, equally, equally

A collection of outcomes is called an _______ of the experiment. For example, in tossing a die, the case of getting an odd number is an _______. This event consists of the outcomes 1, 3, and 5.

event

An ___________ is the result of a single trial of a probability experiment, while a ____________ is the set of all possible outcomes of a probability experiment.

outcome, sample space

An outcome is the result of a _______ trial of a probability experiment, while a sample space is the set of ___ possible outcomes of a probability experiment.

single, all

We can also represent the ____________ using a Venn diagram or tree diagram.

sample space

We can also represent the sample space using a ______ diagram or ______ diagram.

Venn, Tree

A _____________ is a picture that deficits all possible outcomes for an experiment while ______________ is a diagram consisting of line segments emanating from a starting point and in its outcome point and it determines all possible outcomes of a probability experiment.

Venn diagram, Tree Diagram

A Venn diagram is a picture that deficits ____ possible outcomes for an experiment while Tree diagram is a diagram consisting of ___________ emanating from a starting point and in its outcome point and it determines ___ possible outcomes of a probability experiment.

all, line segments, all

An ______ is a collection of one or more outcomes of an experiment, it may be a simple event or a compound event.

event

An event is a collection of ___ or _____ outcomes of an experiment, it may be a ________ event or a ________ event.

one, more, simple, compound

Thus, a __________is an event that includes one and only one of the outcomes.

simple

Thus, a simple event is an event that includes ____ and only ____ of the outcomes

one, one

For an experiment and is denoted by E, it is also called as elementary event.

Simple Event

On the other hand, a __________ event is a collection of more than one outcome for an experiment

compound

On the other hand, a compound event is a collection of ____ than one outcome for an experiment

it is also called a composite event.

Compound Event

Compound Event also called :

Composite

______________ is a numerical measure of the likelihood that a specific event will occur.

Probability

We denote _____ is the probability of an event will occur.

P(E)

An event that cannot occur has _____ probability which is called an ___________ event

zero, impossible

If an event that is certain to occur has a probability equal to ___ which is called ____________.

1, sure event

There are _____ basic probability properties that will be helpful in solving probability problems.

four

______________probability assumes that all outcomes in the sample space are equally likely to occur.

Classical

Classical probability assumes that ____ outcomes in the sample space are _______ likely to occur.

all, equally

Three Conceptual Approaches to Probability

Classical, Empirical or Relative Frequency, Subjective

___________ probability is the type of probability that uses frequency distribution based on observations to determine numerical probabilities of events.

Empirical or Relative Frequency

Empirical probability is the type of probability that uses _______________ based on observations to determine numerical probabilities of events.

frequency distribution

_____________ probability is the probability assigned to an event based on subjective judgment, experience, information and belief.

Subjective

Topic 1

Mikyii · 67問 · 1年前

Topic 1