or

or

taken

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

Don't know (0)
Know (0)
remaining cards (0)
Save
0:01

 Flashcards Matching Hangman Crossword Type In Quiz Test StudyStack Study Table Bug Match Hungry Bug Unscramble Chopped Targets

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

Ch5_Probability

Review of Basic Probability Rules

What do we mean by the term Probability? Probability is a measure of the likelihood of a random phenomenon or chance behavior. Probability describes the long-term proportion with which a certain outcome will occur in situations with short-term uncertainty.
Describe the Law of Large Numbers. As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the probability of the outcome.
How is the term "experiment" used with respect to probability? In probability, an experiment is any process that can be repeated in which the results are uncertain.
What is a Sample Space? The sample space, S, of a probability experiment is the collection of all possible outcomes.
What is an Event? An event is any collection of outcomes from a probability experiment. An event may consist of one outcome or more than one outcome.
In order to be a Probability Model, what is required? A probability model lists the possible outcomes of a probability experiment and each outcome’s probability and must satisfy two rules: 1) 0 ≤ P(E) ≤ 1, for any event E , and 2) the sum of the probabilities of all the outcomes must equal 1.
What is the probability of an impossible event? If an event is impossible, the probability of the event is 0.
What is the probability of a certain event? If an event is a certainty, the probability of the event is 1.
Given S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and E ={2, 3, 5}, what is P(E)? In general, P(E) = N(E)/N(S). Since there are 3 ways for “E” to occur and there is a total of 10 outcomes in “S”, P(E) = 3/10 = 0.3.
How is the probability of an event, E, approximated using the Empirical approach? The probability of event E, using the Empirical method, is approximately the number of times event E is observed, divided by the number of repetitions of the experiment. That is, P(E) ≈ (Frequency of E)/(Number of repetitions of the experiment)
What does it mean for two events to be "disjoint"? Two events are disjoint if they have no outcomes in common. Another name for disjoint events is mutually exclusive events.
What is the "Addition Rule for Disjoints events"? If two events E and F are disjoint (or mutually exclusive), P(E or F) = P(E) + P(F).
What is the General Addition Rule for P(E or F)? In general, P(E or F) = P(E) + P(F) – P(E and F).
How is the "Complement" of an event defined? Let S denote the sample space of a probability experiment and let E denote an event. The complement of E, denoted EC, is the set of all outcomes in the sample space S that are not outcomes in the event E.
State the Complement Rule. If E represents any event and EC represents the complement of E, then P(EC) = 1 – P(E)
What do we mean by "Independent" events? Two events E and F are independent if the occurrence of event E in a probability experiment does not affect the probability of event F.
What do we mean by "dependent" events? Two events are dependent if the occurrence of event E in a probability experiment affects the probability of event F.
What is the notation for conditional probability and what does it mean? The notation P(F | E) is read “the probability of event F given event E”. It is the probability of an event F given the occurrence of the event E.
Give the formula for computing conditional probability. P(F | E) = P(E and F)/P(E) or P(F | E) = N(E and F)/N(E)
What is the Multiplication Rule for DEPENDENT events? P(E and F) = P(E) ∙ P(F | E)
What is the Multiplication Rule for INDEPENDENT events? P(E and F) = P(E) ∙ P(F)
Created by: wgriffin410