Search
Create
Log in
Sign up
Log in
Sign up
AP Statistics Chapter 5
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (26)
Probability
A number between 0 and 1 that describes the proportion of times any outcome of a chance process would occur in a very long series of repetitions.
Law of Large Numbers
If we observe more and more repetitions of any chance process, the proportion of times a specific outcome will occur approaches a single value (in the long run). In the short run, it is unpredictable.
Simulation
An imitation of chance behavior based on a model that accurately reflects the situation.
Performing a Simulation
1. State: Ask a question of interest.
2. Plan: Describe how to imitate the chance process, using a device such as cards, a random number generator, or a table of random digits.
3. Do: Perform many repetitions.
4. Conclude: Answer your question of interest using your data.
Sample Space (S)
The set of all possible outcomes of a chance process.
Probability Model
A description of some chance process that consists of two parts: a sample space S and a probability for each outcome.
Event
Any collection of outcomes from some chance process. A subset of the sample space. Usually designated by capital letters.
Basic Rules of Probability
1. The probability of any event is between 0 and 1.
2. All possible outcomes must add up to 1.
3. The probability of event does not occur is one minus the probability it does.
4. If two events have no outcomes in common, the probability one or the other occurs is their sum.
5. If all outcomes int he sample space are equally likely, the probability that event A occurs can be found using the formula P(A)= total of outcomes corresponding to event A/total number of outcomes in sample space
Complement
Everything other than an outcome/event in the sample space.
Complement rule: P(A^c) = 1 - P(A)
Mutually Exclusive (Disjoint)
Two outcomes that have no outcomes in common so can never occur together. Can never be independent, because one can't happen with the other.
Venn Diagram
A way to illustrate the sample space of a chance process including two events, consisting of two circles representing the events.
Intersection (∩)
All the outcomes in common between two events compared. P(A and B)
Union (U)
All the outcomes in the two events included. P(A or B)
General Addition Rule
P(A or B) = P(A) + P(B) - P(A and B)
Fixes the double counting problem because of the overlapping outcomes.
Conditional Probability
The probability an event will occur given another event has already occurred. Denoted by P(B|A). For example, the probability the person is a man given he is 30.
P(B|A) = P(A∩B)/P(B)
P(A|B) = P(B∩A)/P(A)
Independent Events
Two events in which the occurrence of one event does not change the probability the other with happen. P(A|B) = P(A), and P(B|A) = P(B)
General Multiplication Rule
Finds the probability both A and B occur using the formula:
P(A and B) = P(A∩B) = P(A) * P(B|A)
Tree Diagram
Displays the sample space of a process involving a sequence of events, with each each subsequent event branching out from the first
Multiplication Rule for Independent Events
If A and B are independent, probability A and B both occur is:
P(A∩B) = P(A) * P(B)
Finding if Two Events are Independent
1. P(B|A) = P(B)
2. P(A|B) = P(A)
Long-run behavior
probability approaches outcome
relative frequency
percent, in long-run is probability
addition rule for mutually exclusive events
P(A or B) = P(A) + P(B)
disjoint
P(A and B)=0
two-way table
table of counts that organizes data about two categorical variables
How to find the probability of at least one
P(at least one)=1-P(none)
YOU MIGHT ALSO LIKE...
AP Statistics Chapter 5 - Probability
21 Terms
natalief54
Math Chapter 4
43 Terms
fantasticrerhar
AP Statistics Ch.5 Probability, AP Statistics Probability, AP Statistics Probability Flashcards
23 Terms
calibrewer99
AP STATISTICS
16 Terms
hudsonfamily
OTHER SETS BY THIS CREATOR
AP Statistics - Chapter 11 Vocab
11 Terms
Christine_Vedbraaten
Unit Circle: Sin and Cos values
17 Terms
Christine_Vedbraaten
UNIT CIRCLE, Unit Circle
17 Terms
Christine_Vedbraaten
Properties of Logs
21 Terms
Christine_Vedbraaten
THIS SET IS OFTEN IN FOLDERS WITH...
AP Statistics (Chapter 1)
42 Terms
z_kerek
AP Statistics (Chapter 7)
24 Terms
z_kerek
AP Statistics (Chapter 3)
41 Terms
z_kerek
AP Statistics (Chapter 2)
21 Terms
Shane_Durkan
TEACHER
;