Statistics Exam 2
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
