How can we help?

You can also find more resources in our Help Center.

Confirmatory test

Distribution

Error bars

Ethics

An experiment designed to simply support the tenants of the o…

The way that in which the data points spread out over all pos…

A line through a data point on a plot indicating the standard…

A part of philosophy that deals with questions that surround…

Confirmatory test

An experiment designed to simply support the tenants of the o…

Distribution

The way that in which the data points spread out over all pos…

probablitiy

Punnett Square

genotype

phenotype

number describing how likely it is that an event will happen

chart that shows all the possible combinations of alleles tha…

organism's genetic makeup or allele combinations

visible traits

probablitiy

number describing how likely it is that an event will happen

Punnett Square

chart that shows all the possible combinations of alleles tha…

Event

Experiment

Probability

Sample Space (U)

an outcome from an experiment

the process by which we obtain an outcome

the chance of an event occurring using a number between 0 and 1

a list of all possible outcomes

Event

an outcome from an experiment

Experiment

the process by which we obtain an outcome

Sample Space

3.4) Bayes' Theorem

3.6) Mutually Exclusive

3.5) Independent & Dependent Events

Set of all possible outcomes

Two events are mutually exclusive if they cannot both occur.…

The occurrence of one event has no impact on the other events…

Sample Space

Set of all possible outcomes

3.4) Bayes' Theorem

compliment rule

addition rule

multiplication rule

conditional probability

P(A^c) = 1 - P(A)

P(A or B) = P(A) + P(B) - P(A and B)

P(A and B) = P(A) x P(B|A)

P(A|B) = P(A and B) / P(B)... *condition goes on the bottom

compliment rule

P(A^c) = 1 - P(A)

addition rule

P(A or B) = P(A) + P(B) - P(A and B)

Probability Experiment

Outcome

Sample Space

Event

an action, or trial, through which specific results are obtai…

the result of a single trial

the set of all possible outcomes

a subset of the sample space; may consist of one or more outc…

Probability Experiment

an action, or trial, through which specific results are obtai…

Outcome

the result of a single trial

probability

Punnett square

phenotype

genotype

A number that describes **how likely** it is that an event will…

A **chart** that shows all the possible combinations of alleles…

An organism's **physical appearance** or physical traits... Exampl…

An organism's **genetic makeup** or allele combinations... Example…

probability

A number that describes **how likely** it is that an event will…

Punnett square

A **chart** that shows all the possible combinations of alleles…

Probability Experiment

Outcome

Sample Space

Event

an action, or trial, through which specific results are obtai…

the result of a single trial

the set of all possible outcomes

a subset of the sample space; may consist of one or more outc…

Probability Experiment

an action, or trial, through which specific results are obtai…

Outcome

the result of a single trial

Experiment

Sample Point

Sample Space

Event

process of making an observation that leads to a single outco…

the most basic outcome of an experiment

the collection of all its sample points

is a specific collection of sample points.

Experiment

process of making an observation that leads to a single outco…

Sample Point

the most basic outcome of an experiment

What is probability?

Why is there a 1 in 2 probability that…

What was Mendel the first scientist of?

What is a Punnett square?

The likelihood that a particular event will occur.

Because it has an equal chance of landing on heads or landing…

he was the first scientist to recognize that the principles o…

A chart that shows all the possible combinations of alleles t…

What is probability?

The likelihood that a particular event will occur.

Why is there a 1 in 2 probability that…

Because it has an equal chance of landing on heads or landing…

Mean

Mode

Median

Sample Mean

An average of a set of numbers.

The number/numbers that occur the most often.

The number that is in the middle when data is arranged from l…

The mean of a set of sample values.

Mean

An average of a set of numbers.

Mode

The number/numbers that occur the most often.

Inferential Statistics

Probability

Experiment

Sample Point

Inferring information about the population by using the sample.

Inferring information about the sample using the population.

Process of observation that leads to a single outcome that ca…

A single outcome of an experiment. Ex: 4

Inferential Statistics

Inferring information about the population by using the sample.

Probability

Inferring information about the sample using the population.

probability

Punnett square

phenotype

genotype

A number that describes how likely it is that an event will o…

A chart that shows all the possible combinations of alleles t…

An organism's physical appearance, or visible traits.

An organism's genetic makeup, or allele combinations.

probability

A number that describes how likely it is that an event will o…

Punnett square

A chart that shows all the possible combinations of alleles t…

Event

Outcome

Sample space (S)

Probability experiment

is a subset of the sample space. It may consist of one or mor…

The result of a single trial in a probability experiment.

List of all outcomes that result from an experiment.

is an action, or trial, through which specific results (count…

Event

is a subset of the sample space. It may consist of one or mor…

Outcome

The result of a single trial in a probability experiment.

Experiment

Sample point

Sample space

Event

An act or process of observation that leads to a single outco…

The most basic outcome of an experiment

The part of an experiment where there is a collection of all…

A specific collection of sample points.

Experiment

An act or process of observation that leads to a single outco…

Sample point

The most basic outcome of an experiment

probability experiment

outcome

sample space

event

an action or trial through which specific results are obtained

the result of a single trial in a probability experiment

the set of all possible outcomes of a probability experiment

a subset of the sample space

probability experiment

an action or trial through which specific results are obtained

outcome

the result of a single trial in a probability experiment

Experiment

Sample Point

Sample Space

Event

An act or process of observation that leads to a single outco…

The most basic outcome pf an experiment.

The collection of all its sample points.

A specific collection of sample point.

Experiment

An act or process of observation that leads to a single outco…

Sample Point

The most basic outcome pf an experiment.

Random Variable

Bernoulli Random Variable

Discrete Random Variable

Continuous Random Variable

Associates each outcome in the sample space with a real number

Any random variable whose only possible values are 0 and 1

-Possible outcomes can be written in a list... -Finite=Choose 25…

1: The set of possible values is a continuum (intervals, unio…

Random Variable

Associates each outcome in the sample space with a real number

Bernoulli Random Variable

Any random variable whose only possible values are 0 and 1

Probability

Personal or Subjective Probability

Long Term Relative Frequency

Basket Model

always between 0 and 1

P(A) = the degree to which a given individual believes that t…

P(A)= proportion of times A occurs if a random experiment (ci…

P(A)= proportion of balls in the basket that have an A on them.

Probability

always between 0 and 1

Personal or Subjective Probability

P(A) = the degree to which a given individual believes that t…

Random Experiment

Sample Space

Sample point

Event

is an observable activity whose outcome ... can not be predicted…

is the set of all basic outcomes of a random experiment

are the elements of the sample space

is any subset of basic outcomes of a random experiment

Random Experiment

is an observable activity whose outcome ... can not be predicted…

Sample Space

is the set of all basic outcomes of a random experiment

Find the probability:... P(E)=p(1st draw…

Find the probability:... P(E)=P(3rd Draw…

Find the probability: **multiple event…

Find the probability:... P(E)=P(1st draw…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

Find the probability:... P(E)=p(1st draw…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

Find the probability:... P(E)=P(3rd Draw…

10 marbles... 4 blue... 3 gold... 2 black... 1 white... **** no replacement…

experiment

sample point

sample space

probability rules

is an action that produces an unpredictable result.

is the result of a single run of an experiment

is a list of all possible sample points

1. all probabilities lie between 0 and 1... 2. the sum of the pr…

experiment

is an action that produces an unpredictable result.

sample point

is the result of a single run of an experiment

Mode

Median

Mean

Resistant measure

The value that occurs most frequently in a given data set.

the middle value of a set of data values

A measure of center in a set of numerical data, computed by a…

one that is not influenced by extremely high or low data values

Mode

The value that occurs most frequently in a given data set.

Median

the middle value of a set of data values

Statistic

Parameter

Mean

Median

A characteristic or measure obtained by using the data values…

A characteristic or measure obtained by using all the data va…

The sum of the values, divided by the total number of value.

The midpoint of a data array.

Statistic

A characteristic or measure obtained by using the data values…

Parameter

A characteristic or measure obtained by using all the data va…

Random Experiment

Sample Space

Probability Assignment

Probability Space

An action which has more than one possible outcome and whose…

The set of all possible outcomes --> {.....}

Consists of assigning a number to each outcome such that each…

Consists of a sample space together with a probability assign…

Random Experiment

An action which has more than one possible outcome and whose…

Sample Space

The set of all possible outcomes --> {.....}

permutations

combinations

mutually exclusive

simple probability

• Order matters (order makes a new group).

• Order doesn't matter (order doesn't make a new group)

• events can't occur at the same time.... • don't double count.…

• Probability of an event occurring.... • Represented by a numbe…

permutations

• Order matters (order makes a new group).

combinations

• Order doesn't matter (order doesn't make a new group)

Mode

Median

Mean

Resistant Measure

The highest amount of values.

The middle of the values

All the values added together then divided by how many there…

is one that is not influenced by extremely high or low data v…

Mode

The highest amount of values.

Median

The middle of the values

Average

Mode

Median

Mean

One number that is used to describe the entire sample or popu…

The value that occurs most frequently.

The central value of an ordered distribution.

An average that uses the exact value of each entry. To comput…

Average

One number that is used to describe the entire sample or popu…

Mode

The value that occurs most frequently.

Probability Experiment

Outcome

Sample Space

Event

An action, or trial, through which specific results are obtai…

The result of a single trial

The set of all possible outcomes of a probability experiment.

Subset of the sample space. It may consist of one or more out…

Probability Experiment

An action, or trial, through which specific results are obtai…

Outcome

The result of a single trial

Mode

Median

Mean

Resistant Measures

The value or property that occurs most frequently in the data.

Central Value of an ordered distribution.

An average that uses the exact value of each entry.

One that is not influenced by extremely high or low data valu…

Mode

The value or property that occurs most frequently in the data.

Median

Central Value of an ordered distribution.

probability

subjective probability

objective probability

random experiments with one object

↳ likelihood that event will occur ... ↳ something we encounter…

↳ figures that indicate an individual's belief that an event…

↳ distinguish empirical probability and theoretical probabili…

↳ ie. throw one die many times where each throw is independen…

probability

↳ likelihood that event will occur ... ↳ something we encounter…

subjective probability

↳ figures that indicate an individual's belief that an event…

Probability experiment

outcome

sample space

tree diagram

an action, or trial, through which specific results (counts,…

A possible result of a probability experiment

A set of all possible outcomes or events in an experiment tha…

A diagram used to show the total number of possible outcomes

Probability experiment

an action, or trial, through which specific results (counts,…

outcome

A possible result of a probability experiment

Classical Probability

Empirical Probability

Complement of event E

Conditional Probability

When each outcome in a sample space is equally likely to occu…

Based on observations obtained from probability experiments…

The set of all outcomes in a sample space that are not includ…

The probability of an event occurring, given that another eve…

Classical Probability

When each outcome in a sample space is equally likely to occu…

Empirical Probability

Based on observations obtained from probability experiments…

Heredity

Trait

Genetics

Fertilization

The passing of physical characteristics from parents to offsp…

A specific characteristic, such as stem height or seed color

The scientific study of heredity

The process when a new organism begins to form from egg and s…

Heredity

The passing of physical characteristics from parents to offsp…

Trait

A specific characteristic, such as stem height or seed color

probability

Punnett square

phenotype

genotype

A number that describes how likely it is that an event will o…

A chart that shows all the possible combinations of alleles t…

An organism's physical appearance, or visible traits.

An organism's genetic makeup, or allele combinations.

probability

A number that describes how likely it is that an event will o…

Punnett square

A chart that shows all the possible combinations of alleles t…

Probability

Experiment

Sample Point

Sample Space

The systematic study of uncertainty; numerical measure betwee…

an act or process of observation that leads to a single outco…

The basic possible outcomes of an experiment

the collection of all its sample points. (for a coin heads an…

Probability

The systematic study of uncertainty; numerical measure betwee…

Experiment

an act or process of observation that leads to a single outco…

mode

median

mean

resistant measure

a data set is the value that occurs most frequently

central value, of an ordered distribution

sum of all entries/ number of entires

one that is not influenced by extremely high or low data value

mode

a data set is the value that occurs most frequently

median

central value, of an ordered distribution

Mode

Median

Mean

Resistant Measure

The value that occurs most frequently in a given data set.

The middle number in a set of numbers that are listed in order.

The average of all the data values - Add them all up and divi…

A measure that is not influenced by extremely high or low dat…

Mode

The value that occurs most frequently in a given data set.

Median

The middle number in a set of numbers that are listed in order.

Data

Sample

Population

Case

Collected information together with its context

The group of persons or things from which we can actually obt…

The group of all the persons or things we wish we knew about

One person or things for which we have information

Data

Collected information together with its context

Sample

The group of persons or things from which we can actually obt…

Coplanar

Parallel

Polyhedron

Edge

Line segments that lie on the same plane.

Line segments that will never intersect.

A 3-D figure with flat surfaces that are polygon

Where two planes intersect in a line

Coplanar

Line segments that lie on the same plane.

Parallel

Line segments that will never intersect.

Experiment

Sample Point

Sample Space

Event

An act of process of observation that leads to a single outco…

The most basic outcome of an experiment

The collection of all it's sample points.

A specific collection of sample points.

Experiment

An act of process of observation that leads to a single outco…

Sample Point

The most basic outcome of an experiment

random variable

Bernoulli random variable

discrete random variable

probability distribution / probability…

a function whose domain is the sample space and whose range i…

any random variable whose possible values are 0 and 1 (succes…

a random variable whose possible values either constitute a f…

For every possible value x of the random variable, it specifi…

random variable

a function whose domain is the sample space and whose range i…

Bernoulli random variable

any random variable whose possible values are 0 and 1 (succes…