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## Introduction to Mathematical Statistics

by: Mrs. Triston Collier

38

0

1

# Introduction to Mathematical Statistics STAT 309

Marketplace > University of Wisconsin - Madison > Statistics > STAT 309 > Introduction to Mathematical Statistics
Mrs. Triston Collier
UW
GPA 3.57

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Statistics

This 1 page Class Notes was uploaded by Mrs. Triston Collier on Thursday September 17, 2015. The Class Notes belongs to STAT 309 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 38 views. For similar materials see /class/205091/stat-309-university-of-wisconsin-madison in Statistics at University of Wisconsin - Madison.

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Date Created: 09/17/15
Quoc Tran B248D MSC tran statiwisciedu STAT 309 Discussion 2 September 27 2007 1 Permutation and combination laws 0 For a set of size n and a sample of size r7there are nT different ordered samples with replacement and nn 7 1 71 7 r 1 different ordered samples without replacement 0 The number of orderings of n elements is n nn 7 1 21 o The number of unordered samples of r objects from 71 objects without replacement ian7 where7 2 A Probability Tree 0 Exactly one path through the tree is realized 0 The probability of a path through the tree is the product of the edges probability 3 Binomial Distribution 0 The Five Key Characteristics 7 1 Each trial has two possible outcomes It is also okay for there to be multiple outcomes that are grouped to two classes of outcomes 7 2 Trials are independent 7 3 The number of trials7 n7 is xed in advance 7 4 Each trial has the same success probability7 p 7 5 The random variable counts the number of successes in the n trials 0 The probability mass function 711 P Y C3917 739 h 07 T J 71 710 p 7 W ere n 7 i j jj71j7 2 21 7011 nCOnCn1 annCn7j 4 Homeworks Hints o 2b De ne X 0 o 6 For IAmB considerw EA Bandw AOB 819 Useful formula a b 7 Ckakbn k o 1132 Solve these inequalities pkpk 1 1 and pkpk 1 gt 1 o 13a Find PX Z 12 o 21 Use de nition of conditional probability 0 22 First success 0 31 Read EX C page 46 Of ce hours Mon Tue Thu 400500pm7 at B248D MSCl httpWWWistatiWiscieduNtran

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