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## Introductory Statistics for Engineers

by: Mrs. Triston Collier

24

0

2

# Introductory Statistics for Engineers STAT 224

Marketplace > University of Wisconsin - Madison > Statistics > STAT 224 > Introductory Statistics for Engineers
Mrs. Triston Collier
UW
GPA 3.57

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Statistics

This 2 page Class Notes was uploaded by Mrs. Triston Collier on Thursday September 17, 2015. The Class Notes belongs to STAT 224 at University of Wisconsin - Madison taught by Staff in Fall. Since its upload, it has received 24 views. For similar materials see /class/205080/stat-224-university-of-wisconsin-madison in Statistics at University of Wisconsin - Madison.

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Date Created: 09/17/15
Stat 224 Handout 3 TA Shubing Wang Sep 28 2005 1 Accompanying joint probability table Factorl Al 42 A B1 03 11 ab 12 ab m Factor 2 2 Fab tab 1021 13171 301sz awmz amnm I What is PAii 12 m I What is PBjj 12 m I What is P What is PAiBj B AY 2t Transform the accompanying table to accompanying probability table Exercise 289 Page 92 So the accompanying probablity table is Line 1 Line 2 Line 3 Blemish 15 12 20 Crack 50 44 40 PullTab Problem 21 28 24 Surface Defect 10 8 15 Other 4 8 2 Line 1 Line 2 Line 3 Blemish 005 0032 00 Crack 0t 16 PullTab Problem 007 111320 0096 Surface Defect 006 Other 74 1300 0008 a What is the probability that the can was produced by line 1 That the reason for nonconformance is a crack b If the selected can came from line 1 what is the probability that it had a blemish c Given that the selected can had a surface defect what is the probabilty that it came from line 1 3 Independence De nition Two events A and B are independent if PAB PA n 13 PA 113 PA which is equivalent to b Equot Exercise For the accompanying tabIe in part 1 are AS and B5 independent Solution First caicuIate m m HAS HAS 0 By Dams j1 j1 P03 ZPW n 135 2mm i1 i1 Then ckeck if PM 0 Bi HAS P03 Back to 289 is Aa can made by iine 1 independent of B a can has surface defect Exercise 257 For any events A and B with PB gt 0 show that PABPA B 1 Exercise Assume events A and B are independent PA O B 03 and PA U B 08 nd out PA and MB

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