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## Stat 201 (Week 1 Notes)

by: brinettewinter

2

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# Stat 201 (Week 1 Notes) STAT 201 002

Marketplace > Drexel University > Statistics > STAT 201 002 > Stat 201 Week 1 Notes
brinettewinter
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Factorials Permutations Combinations Random Experiment
COURSE
PROF.
Jinwook Lee
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Statistics
KARMA
Free

## Popular in Statistics

This 2 page Class Notes was uploaded by brinettewinter on Tuesday September 27, 2016. The Class Notes belongs to STAT 201 002 at Drexel University taught by Jinwook Lee in Fall 2016. Since its upload, it has received 2 views. For similar materials see Introduction to Business Statistics in Statistics at Drexel University.

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Date Created: 09/27/16
5.1   FUNDAMENTALS   PRINCIPLE   OF   COUNTING   I.   ACTORIALS   a. The   formula   for   factorial:    n!   =   (n)(n­1)(n­2)   II.   PERMUTATION:  a. Permutation:    a   set   of   objects   in   which   position   (or   order)   is   important  b. Formula:     III.   COMBINATION:  a. Combination:    a   set   of      objects   in   which      position   (or   order)   is    NOT    important   b. Combination    is   always   SMALLER   or   EQUAL   to   the   number   of   permutations   c. Formula:         Permutation   Combination   Picking   first,   second   and   third   place   winners.  Picking   three   winners   Picking   a   team   captain,   pitcher,   and   shortstop  Picking   three   team   members   from   a   group   from   a   group.     IV.   EXAMPLES:   a. Example   1:    Joleen   is   on   a   shopping   spree.      She   buys   six   tops,   three   shorts   and   4   pairs   of  sandals.      How   many   different   outfits   consisting   of   a   top,   shorts   and   sandals   can   she  create   from    er   new   purchases?    (6)(3)(4)   =   72  ossible   utfits   b. Example   2:    There   are   3   students   A,   B,   C.   What   are   the   number   of   ways   of   which   the   student  can   arrange   their   seats?     (3)(2)(1)   =     ays   c. Example   3:    What   is   the   total   number   of   possible   4­letter   arrangements   of   the   letters       m,   a,   t,   h ,  if   each   letter   is   used   only   once   in   each   arrangement?      d. Example   4:    There   are   12   boys   and   14   girls   in   a   math   class.      Find   the   number   of   ways   the  teacher   can   select   a   team   of      3   students   from   the   class   to   work   on   a   group   project.      The   team   is  to   consist        girl       oys.      1      ORDER    is    NOT    important,   so   we   will   use    COMBINATION.       e. Example   5:    There   are   110   people   at   a   meeting.   They   each   shake   hands   with   everyone   else.  How  m   any   handshakes   were   there?     ORDER    is    NOT    important,   since   everyone   shakes   hand   with   everyone   else,     so   we   use    COMBINATION.      nCr   =   110      2     5,995   handshakes         5.2   RANDOM    EXPERIMENTS  a. Sample   space   (S):       The   set   of   all   possible   outcomes   for   the   experiment  b. When  t  wo    ices   oll,   here  re   6       =   3  ossible   outcomes     c. Infinite   sample   space:    sometimes   sample   space   can   be   so   large   that   it   is   NOT   possible   to   list  all   outcomes.   We   describe   them   using   rules:  i. Student   GPA   sample   space:    S   =   {all   X   such   that   0.00   ≤   X   ≤   4.00}    d. An   event   (E)    is   any   outcomes   that   is   a   subset   of   sample   space  e. An   elementary   event    is   a   single   outcome.   S   =   {E1,   E2,   ...   ,   En}.   f. Compounding   event :   consisting   of   two   or   more   simple   events.   i. Amazon’s  w   ebsite    as   seven   categories:   S   =   {Books,   DVD,   VHS,   Magazines,   Newspapers,   Music,   Textbooks}   ii. Compound  E   vent  A    an   be   efined   as:  Electronic  m  edia   =  Music,  D  VD,   VHS}   iii. Compound   Event   B    can  b   e   defined   as:  Print   periodicals   =   (Newspapers,   Magazines}  g. Example:    if   we   toss   two   coins   at   the   same   time     S   =   {HH,   TT,   HT,   TH}                    If   E   is   when   two   coins   has   the   same   result     E   =     H,   TT}                                           |E|   =   2     2

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