# Study sets matching "statistics probability"

Study sets

Diagrams

Classes

Users

Venn diagram and probability

Arrange vs Outcomes

Independent Events

Independent Events - Example

P (A n B) = A and B = A x B... P (A u B) = A or B = A + B

Arrange - this is how many 'WAYS' something can be arranged. t…

when the selection of one does not affect the probability of a…

At a picnic, Julio reaches into an ice-filled cooler containin…

Venn diagram and probability

P (A n B) = A and B = A x B... P (A u B) = A or B = A + B

Arrange vs Outcomes

Arrange - this is how many 'WAYS' something can be arranged. t…

Factorials

Permutations

Permutations | Examples

Permutations | Indistinguished or Inter…

functions that can be performed on any non-negative integer... p…

order of elements are important... no element can be used more th…

For set {1,2,3}... P = { 1, 2, 3, 1 2, 2 1, 1 3, 3 1, 2 3, 3 2, 1…

Set {1, 2, 3, 3}... P = n!/(m1! m2! ... mk!)... n = total # of elem…

Factorials

functions that can be performed on any non-negative integer... p…

Permutations

order of elements are important... no element can be used more th…

frequency table

relative frequency table

pictograph

circle graphs

shows how frequently each unique value appears in the set

shows the proportions of each unique value compared to the ent…

graph, generally in the hoorizontal orientation, thta uses pic…

also known as pie charts, provide a visual depiction of the re…

frequency table

shows how frequently each unique value appears in the set

relative frequency table

shows the proportions of each unique value compared to the ent…

experiment

outcomes

event

favorable outcomes

an investigation or a procedure that has varying results

the possible results of an experiment

a collection of one or more outcomes

outcomes of a specific event

experiment

an investigation or a procedure that has varying results

outcomes

the possible results of an experiment

Box-and-Whisker Plot

Outlier

Quartile

Bar Graph

shows the distribution of data. The middle... half of the data is…

a number in a set of data that is much larger or much smaller…

1) Division of data into 4 equal parts

A graph that uses horizontal or vertical bars to display data

Box-and-Whisker Plot

shows the distribution of data. The middle... half of the data is…

Outlier

a number in a set of data that is much larger or much smaller…

Factorial

Permutation

0!

Theoretical probability

n! = n x (n-1) x (n-2) x (n-3)...1... Ex: 5! = 5 x 4 x 3 x 2 x 1…

n! / (n-r)!... n = total ... r = limited total

1

What should occur or what we expect to happen in an experiment

Factorial

n! = n x (n-1) x (n-2) x (n-3)...1... Ex: 5! = 5 x 4 x 3 x 2 x 1…

Permutation

n! / (n-r)!... n = total ... r = limited total

Variation

Unit of measurement

Trend line

Two-way table

describes how far from the center the numbers in a data set ar…

A unit used to measure something.

A line that shows the general direction of dots on a scatter p…

A table of data for two different measurements.

Variation

describes how far from the center the numbers in a data set ar…

Unit of measurement

A unit used to measure something.

Hypothesis Testing Definition

Regression Analysis Definition

What is the hard part of regression ana…

Linear Regression Definition

We use statistical inference to accept or reject explanations…

Allows us to quantify the relationship between a particular va…

Determining which variables ought to be considered in the anal…

Seeks to find the "best fit" for a linear relationship between…

Hypothesis Testing Definition

We use statistical inference to accept or reject explanations…

Regression Analysis Definition

Allows us to quantify the relationship between a particular va…

Probability Formula

Sample Space

Probability Event

Union of Events

A point is selected at random in the square. Calculate the pro…

the sample space of an experiment or random trial is the set o…

an event is a set of outcomes of an experiment (a subset of th…

The union of two sets A and B is the set of elements in A or B…

Probability Formula

A point is selected at random in the square. Calculate the pro…

Sample Space

the sample space of an experiment or random trial is the set o…

probability

equally likely

likely

unlikely

The likelihood that a particular event will occur

same probability of occurring

an event has a 75% chance or more of occurring

an event has a 25% chance or less of occurring

probability

The likelihood that a particular event will occur

equally likely

same probability of occurring

simulation

trial

Component

response variable

real-world situation by using random-digit outcomes to mimic t…

sequence of several components representing events

equally likely random digits to model simple random occurrence…

values of the response variable record the results of each tri…

simulation

real-world situation by using random-digit outcomes to mimic t…

trial

sequence of several components representing events

Probability

Theoretical Probability

Experimental Probability

Sample Space

The extent to which an event is likely to occur, measured by t…

What is EXPECTED to happen based on the possible outcomes, ass…

The RESULT of an experiment or simulation after a large number…

The set of all possible outcomes or results of an experiment.…

Probability

The extent to which an event is likely to occur, measured by t…

Theoretical Probability

What is EXPECTED to happen based on the possible outcomes, ass…

Fundamental Counting Principle

Permutations

Combinations

Probability

a way to figure out the number of outcomes in a probability pr…

a way, especially one of several possible variations, in which…

a joining or merging of different parts or qualities in which…

the extent to which something is probable; the likelihood of s…

Fundamental Counting Principle

a way to figure out the number of outcomes in a probability pr…

Permutations

a way, especially one of several possible variations, in which…

Mutually Exclusive Events (A or B)

Not Mutually Exclusive Events (A or B)

Independent Events (A and B)

Dependent Events (A and B)

P(A) x P(B) = 0

P(A) x P(B) > 0

The outcomes have no effect on each other.

A and B events directly affect each other.

Mutually Exclusive Events (A or B)

P(A) x P(B) = 0

Not Mutually Exclusive Events (A or B)

P(A) x P(B) > 0

Fundamental Counting Principle

Permutation (order matters)

Combination (order doesn't matter)

Probability

If an event can occur in m different ways and another event ca…

Permutations of n objects, taking r at a time, is denoted nPr…

Combinations of n objects, taking r at a time, is denoted nCr…

The probability of an event, or P(e), is calculated by... P(e) =…

Fundamental Counting Principle

If an event can occur in m different ways and another event ca…

Permutation (order matters)

Permutations of n objects, taking r at a time, is denoted nPr…

Factorials

Permutations

Permutations | Examples

Permutations | Indistinguished or Inter…

functions that can be performed on any non-negative integer... p…

order of elements are important... no element can be used more th…

For set {1,2,3}... P = { 1, 2, 3, 1 2, 2 1, 1 3, 3 1, 2 3, 3 2, 1…

Set {1, 2, 3, 3}... P = n!/(m1! m2! ... mk!)... n = total # of elem…

Factorials

functions that can be performed on any non-negative integer... p…

Permutations

order of elements are important... no element can be used more th…

Probability Experiment

Outcome

Sample Space

Random

a chance process that leads to well defined outcomes or results

the result of a single trial of a probability experiment

the set of all outcomes of a probability experiments

you cannot predict with certainty which outcome will occur whe…

Probability Experiment

a chance process that leads to well defined outcomes or results

Outcome

the result of a single trial of a probability experiment

0%

8.2%

67.2%

19%

If A and B are mutually exclusive, then P(A and B) =?

If 20% of all m&ms are green, what is the probability that the…

You pick 5 m&ms at random. If 20% of all m&ms are green, what…

72% of all students take science, 24% take programming, and 15…

0%

If A and B are mutually exclusive, then P(A and B) =?

8.2%

If 20% of all m&ms are green, what is the probability that the…

Referring to skewness of distributions,…

Skewed right plus an outlier on the rig…

Standard Deviation

IQR or Inter Quartile Range

...where the tail is.

Right

a quantity calculated to indicate the extent of deviation for…

Extending from Q1 to median to Q3.

Referring to skewness of distributions,…

...where the tail is.

Skewed right plus an outlier on the rig…

Right

Mean

Mode

Median

Range

The mean is the average of the numbers given. Just add up all…

The mode is the number which appears the most in a set of numb…

To find the median, place the numbers you are given in value o…

The difference between the lowest and highest values.

Mean

The mean is the average of the numbers given. Just add up all…

Mode

The mode is the number which appears the most in a set of numb…

Venn diagram and probability

Arrange vs Outcomes

Independent Events

Independent Events - Example

P (A n B) = A and B = A x B... P (A u B) = A or B = A + B

Arrange - this is how many 'WAYS' something can be arranged. t…

when the selection of one does not affect the probability of a…

At a picnic, Julio reaches into an ice-filled cooler containin…

Venn diagram and probability

P (A n B) = A and B = A x B... P (A u B) = A or B = A + B

Arrange vs Outcomes

Arrange - this is how many 'WAYS' something can be arranged. t…

Dot Plot

Range

Quartiles

Box Plot

a graphical display of data using dots

the difference between the lowest and highest value

the values that divide a list of numbers into quarters

a visual display of the minimum, maximum, Q1, Q3, and median

Dot Plot

a graphical display of data using dots

Range

the difference between the lowest and highest value

Stem-and-leaf diagrams

line plot

median

mode

divide data values into multiples of 10. The longest set of le…

way to organize data to show how many times a value occurs and…

number that is in the middle when all of the values are put in…

value that occurs the most often.

Stem-and-leaf diagrams

divide data values into multiples of 10. The longest set of le…

line plot

way to organize data to show how many times a value occurs and…