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Discrete Probability Distributions

Description

Statistics Mind Map on Discrete Probability Distributions, created by alistairewart on 10/20/2013.
alistairewart
Mind Map by alistairewart, updated more than 1 year ago
alistairewart
Created by alistairewart almost 9 years ago
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Resource summary

Discrete Probability Distributions
  1. Binomial Distribution
    1. Example

      Annotations:

      • Historical sales record that 40 percent of all customers who enter store make a purchase. What is the probability that two of the next three customers will make a purchase?
      1. how we know it's binomial
        1. 1) identical trials
          1. 2) TWO outcomes are possible in each trial
            1. 3) probability stays constant
              1. 4) all trial outcomes are independent
              2. Sample Outcome Space

                Annotations:

                • SSS    SSF SFS FSS FFS FSF SFF FFF
                1. We know there are 8
                2. Note
                  1. 1

                    Annotations:

                    • the 3 in this expression is the number of sample space out comes (ssf, sfs, and fss) that correspond to the EVENT "two of the next three customers make purchases.
                    1. 2

                      Annotations:

                      • .4 = p .6= q  is the probability that the customer does not make a purchase
                    2. Calculation
                  2. Definitions
                    1. trials
                      1. success and failure

                        Annotations:

                        • (p)= success (f) = failure
                        1. sample space outcomes
                        2. Formulas
                          1. number of ways to arrange x successes among n trials
                            1. Binomial Probability
                            2. Rules
                              1. Addition Rule
                                1. not mutually Exclusive
                                  1. Mutually Exclusive
                                  2. Compliment Rule

                                    Annotations:

                                    • If A is the event... A Compliment is the event in which it will NOT occur.
                                  3. Mean/ Variance/ SD
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