Topic 9 Vocab

of or characterizing a process of selection in which each item of a set has an equal probability in being chosen

the proportion of times the outcome would occur in a very long series of repetitions

the outcome of one trial must not influence the outcome of any other

outcomes that we cannot predict but that nonetheless have a regular distribution in very many repetitions

in a random phenomenon, it is the set of all possible outcomes

is an outcome or a set of outcomes of a random phenomenon

events A and B have no outcomes in common

when events a and b occur, one event does not change the probability of the other

a random variable that can take any numeric value within the range of values. the range may be infinite or bounded at either or both ends

a curve that is on or above the horizontal axis, and has an area of exactly one underneath it

a random variable that can take on a finite number of distinct outcomes

lists the values and their probabilities

a graph of the probability distribution that divides up the range of possible values in a data set into classes or groups

a variable whose value is a numerical outcome of a random phenomenon (shown by capital letter, often X)

a density curve with a height of 1, ranging from 0 to 1

given a fixed number of independent observation and the fact that each observation falls into either “success” or “failure”, the probability of success is the same for each observation

the random variable X = number of successes if the data is produced in a binomial setting

given parameters n and p, the distribution of the count X of successes in the binomial setting

assigns a probability to each value of X

assigns the sum of probabilities for values less than or equal to X

the number of ways of arranging k successes among n observations

if X has the binomial distribution with n observation and probability p of success on each observation, given that the possible values of X are 0,1,2,…,n

of events A and B contains all outcomes in A, in B, or in both A and B

the simultaneous occurrence of two events

the probability of a joint event

gives the probability of one event under the condition that we know another event

contains all outcomes that are in both A and B, but not outcomes in A or B alone

of any event A is the event that A does not occur, written as A^c