Chapter four - created from Mind Map

Random Variables Continuous random variable **Discrete random variables** Methods for discribing The mean Variance of Discrete Random Variables µ = ∑xP(x) SD^2 = ∑(x - µ)^2 • P(x)

Definitions SSO Experiment Variable Trials Probability Distribution event of interest Coin Example

FormulasBinomial Formula

calling it that (p) (q) (x) (n) (X) Attached Study AidsMind Map - Discrete Probability Distributions

Probability Distribution TableSetting up

**Binomial random variables** Characteristics Binomial probability mass function 1) Identical Trials 2)Trials results (S) (F) 3) probability (p) is constant from trial to trial 4)The trials are independent Success Failure P(x) = nCx • px • (1-p)^(n-x) MU= N x P SD^2 = np(1 - p)

A random variable can be thought of as representing an uncertain numerical outcome of an experiment

variables can take any numerical value on the real number linetemperature of a cup of coffee served at mcdonald's restaurant.time in seconds that a customer in a store must wait to recieve a cred card autorizationany value is possible in a certain range

The trials are the exact same.

1-P

Sample Space Outcomes

Sucess

Failure

A Random non-determined experiment.

1)A description of a person/place/idea 2) This value can vary from one entity to another

Total number of successes in (n) trials

How many times you did the experiment

Number of trials

list of all possible outcomes of a RANDOM VARIABLE

flip a coin 3 times... Let A= the even of observing 1 heads in three flips.What is the P(A)?

The event of interest

is a list of all possible outcomes of a random variable and their corresponding probabilities

1) define the random variable x= event of interest2) create a table of outcomes with the two headings outcomes and value of X3) list all of the possible outcomes and the values of X that correspond to each4) create probability distribution table with three headings x, frequency, m, P(x)Remember to put totals at the end of the graph

Counting numbers like rolling dice or flipping a coin.

1) histograms, X and it's corresponding values in a probability table and a function.

The Average value of the random variable if we were to observe it for an indefinite period of time

n trials where the probability for a success for each trial is p, the probability of observing x successes is?

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Chapter four

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