Statistics Exam 2

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random variable

A _______ _________ is a numerical measure of the outcome of a probability experiment

probability model

A __________ _____ lists the possible outcomes of an experiment and each outcome's probability

probability density function

A __________ __________ _________ is a function/equation used to compute probabilities of continuous random variables

normally distributed

A continuous random variable is _______ ________ if its histogram has the shape of a normal curve (bell-shaped curve)

event

An _____ is any collection of outcomes from a probability experiment

unusual event

An _______ _____ is one which has a low probability of occurring (less than 5%)

Law of Large Numbers

As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the probability of the outcome

P(E) + P(F)

If E and F are disjoint, P(E or F) = _________

Multiplication Rule for Independent Events

If E and F are independent events, then P(E and F) = P(E) x P(F)

dependent

Two events E and F are _________ if the occurrence of E does affect the probability of F

independent

Two events E and F are ____________ if the occurrence of event E in a probability experiment does not affect the probability of event F

disjoint

Two events are __________ if they have no outcome in common

probability experiment

a __________ _____________ is a process with uncertain results that can be repeated

sample space (S)

The ______ _____ is the collection of all possible outcomes of an experiment

complement

The _________ of E is all outcomes in the sample space S that are not in event E

probability distribution

The __________ ____________ of a discrete random variable x provides the possible values of the random variable and their corresponding probabilities

intersection

The event E and F consists of all outcomes in both of the events

union

The event E or F consists of all outcomes which are in at least one of the two events

probability

the ___________ of an outcome is the long-term proportion with which that outcome is observed


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