Save
AP Statistics
Unit 4
Save
Share
Learn
Content
Leaderboard
Share
Learn
Created by
Emma Tran
Visit profile
Cards (137)
Binomial distribution
A probability distribution for a discrete random variable representing the number of
successes
in N
repeated trials
View source
Calculating
binomial
probabilities
1. List all possible
outcomes
for X (number of
successes
)
2. Calculate
probability
of each outcome using formula: nCr * p^r * (
1-p
)^(n-r)
3. Where n=number of
trials
, r=number of
successes
, p=probability of success, (1-p)=probability of failure
View source
Binomial
distribution
Requires
success
clearly defined and
probability
of success given
Probability of success stays the
same
from trial to trial
Trials are
independent
View source
Geometric distribution
Discrete
random variable where X is the number of the trial on which the
first
success occurs
View source
Geometric distribution
Requires
success
clearly defined and
probability
of success given
Probability of success stays the
same
from trial to trial
Trials are
independent
No set number of trials, only care about when
first
success occurs
View source
Mean of
binomial distribution
N * P
View source
Standard deviation of binomial distribution
Square root
of N * P * (
1-P
)
View source
Mean of geometric distribution
1
/ P
View source
Standard deviation of geometric distribution
Square root of (
1-P
) / P
View source
Random process
Generates results that are random or simply unknown and determined by chance
View source
Outcome
The result of a random process
View source
Event
The collection of outcomes
View source
Probability
Quantifying the uncertainty in a random process
View source
Long run relative frequency
The probability of an outcome, found by taking the number of times the outcome occurs divided by the total number of repetitions
View source
The law of large numbers states that simulated probabilities tend to get closer to the true probability the more trials we perform
View source
The long run relative frequency definition of probability will never be perfect because we can never run infinite simulations or trials
View source
Sample space
A list of all non-overlapping outcomes
View source
Probability of an event
The number of outcomes in favor of the event divided by the total number of outcomes in the sample space
View source
The probability of an event is always between 0 and 1 inclusive
View source
Complement of an event
The event does not happen
View source
Probability of A and B
The probability that both events A and B occur at the same time (joint probability)
View source
Mutually exclusive events
Events that cannot happen at the same time
View source
Probability of A or B
The probability that event A only happens, or event B only happens, or both A and B happen (union of events)
View source
Conditional probability
The probability of event A occurring given or on the condition that event B has already or will occur
View source
Addition rule
To find the probability of A or B, take the probability of A plus the probability of B, and subtract the probability of A and B
View source
Multiplication rule
To find the probability of A and B, take the probability of A times the probability of B given that A has already occurred
View source
Independent events
Events where the probability of one event is not affected by the occurrence of the other event
View source
If events A and B are independent, the probability of A and B is the probability of A times the probability of B
View source
If events A and B are not independent, the probability of A and B is the probability of A times the probability of B given that A has already occurred
View source
Two-way table
A table that shows the relationship between two categorical variables
View source
The AP Statistics Exam loves working with two-way tables and probability
View source
Probability question with two-way table
1. Identify the number of outcomes in favor
2. Identify the total number of outcomes in the sample space
3. Calculate the probability
View source
Joint probability
The probability of two events occurring together
View source
Mutually exclusive
Two events that cannot occur at the same time
View source
Calculating probability with mutually exclusive events
1. Add the individual probabilities
2. Subtract the overlap to avoid double counting
View source
Conditional probability
The probability of one event occurring given that another event has occurred
View source
Calculating conditional probability
1. Numerator: Probability of both events
2. Denominator: Probability of the condition
View source
Independence
Two events are independent if the occurrence of one event does not affect the probability of the other event
View source
Checking for independence
1. Compare the probability of one event to the conditional probability of that event given the other event
2. If they are equal, the events are independent
View source
The probability that Andrea purchases Car 1 is 42% and the probability she purchases Car 2 is 26%
View source
See all 137 cards
See similar decks
Unit 6: Development
AP psych notes > AP Daily video syllabus
76 cards
Unit 2: Cell function
AP Bio Notes
182 cards
Statistical analysis
AP Daily video syllabus > AP psych notes > Unit 1: scientific foundations of psychology
37 cards
Unit 3: Sensation and Perception
AP psych notes > AP Daily video syllabus
72 cards
diffusion
Y13 > ap science unit 3
45 cards
Unit 7: ArrayList
Computer Science A
12 cards
Mutations
AP Bio Notes > Unit 6: Genes
14 cards
Translation
AP Bio Notes > Unit 6: Genes
13 cards
Unit 4: Learning
AP psych notes > AP Daily video syllabus
38 cards
Unit 8: Ecology
AP Bio Notes
94 cards
Feedback
AP Bio Notes > Unit 4: Cell Cycle
9 cards
Environmental Effects
AP Bio Notes > Unit 5: Heredity
5 cards
Membrane transport
AP Bio Notes > Unit 2: Cell function
32 cards
Membrane permeability
AP Bio Notes > Unit 2: Cell function
26 cards
Unit 6: Genes
AP Bio Notes
160 cards
Unit 5: Heredity
AP Bio Notes
100 cards
Unit 7: Personality
AP psych notes > AP Daily video syllabus
96 cards
Unit 2: Using Objects
Computer Science A
30 cards
DNA and RNA Structure
AP Bio Notes > Unit 6: Genes
36 cards
Unit 4: Cell Cycle
AP Bio Notes
144 cards
Unit 9: Social Psych
AP psych notes > AP Daily video syllabus
57 cards