Unit 6: Anticipating Patterns

________ or mutually exclusive events: events that have no outcome in common.

________: the set of all possible outcomes in a sample space that do not lead to the event.

________: events A and B is the set of all possible outcomes that lead to both events A and B.

________: a numerical measurement describing some characteristic of a population.

________: If the sample size is large enough then we can assume it has an approximately normal distribution.

The ________ are independent and are repeated using identical conditions.

The ________ has to be greater than 30 to assume an approximately normal distribution.

________: representation is useful in determining the sample space for an experiment, especially if there are relatively few possible outcomes.

________ is the ________ of the original distribution.

________ is the ________ of the original distribution.

Union: events A and ________ is the set of all possible outcomes that lead to at least one of the two events A and ________.

Mean is the mean of the ________.

Mean is the mean of the ________.

________: a set of all possible outcomes.

________: standard deviation of the distribution of the statistics.

Mean is the mean of the ________.

________: a numerical measurement describing some characteristic of a sample.

the chance of the outcome of an event

a set of all possible outcomes

representation is useful in determining the sample space for an experiment, especially if there are relatively few possible outcomes

For any event A, the probability of A is always greater than or equal to 0 and less than or equal to 1

The sum of the probabilities for all possible outcomes in a sample space is always 1

If an event can never occur, its probability is 0

Of an event must occur every time, its probability is 1

ratio of the probability of the occurrence of an event to the probability of the nonoccurrence of that event

the set of all possible outcomes in a sample space that do not lead to the event

events that have no outcome in common

events A and B is the set of all possible outcomes that lead to at least one of the two events A and B

events A and B is the set of all possible outcomes that lead to both events A and B

A given B is a set of outcomes for event A that occurs if B has occurred

quantity whose value varies from subject to subject

an experiment whose possible outcomes may be known but whose exact outcome is a random event and cannot be predicted with certainty in advance

The outcome of a probability experiment takes a numerical value

quantitative variable that takes a countable number of values

a quantitative variable that can take all the possible values in a given range

Computed by multiplying each value of the random variable by its probability and then adding over the sample space

sum of the product of squared deviation of the values of the variable from the mean and the corresponding probabilities

the number of ways r items can be selected out of n items if the order of selection is not important

graph or a formula giving all possible values taken by a random variable and the corresponding probabilities

a numerical measurement describing some characteristic of a population

a numerical measurement describing some characteristic of a sample

the probability distribution of all possible values of a statistic, different samples of the same size from the same population will result in different statistical values

standard deviation of the distribution of the statistics

If the sample size is large enough then we can assume it has an approximately normal distribution

μ = 1/p

σ = √1/𝑝(1/𝑝−1)