×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Week 7 - Probability Theory and Statistics

by: Michelle Schmutz

30

0

7

# Week 7 - Probability Theory and Statistics 3341

Marketplace > University of Texas at Dallas > General Engineering > 3341 > Week 7 Probability Theory and Statistics
Michelle Schmutz
UTD
GPA 3.3

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

7th Week of notes, monday february 29th and wednesday march 2nd
COURSE
Probability Theory and Statistics
PROF.
Dr. Mohammed Saquib
TYPE
Class Notes
PAGES
7
WORDS
CONCEPTS
Statistics, probability theory, probability theory and statistics
KARMA
25 ?

## Popular in General Engineering

This 7 page Class Notes was uploaded by Michelle Schmutz on Saturday March 5, 2016. The Class Notes belongs to 3341 at University of Texas at Dallas taught by Dr. Mohammed Saquib in Winter 2016. Since its upload, it has received 30 views. For similar materials see Probability Theory and Statistics in General Engineering at University of Texas at Dallas.

×

## Reviews for Week 7 - Probability Theory and Statistics

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 03/05/16
Weekly Notes #7 Uniform Rv Monday 29,2016ary Gammetundicm Exponential Rt Erbmgkv Recap - discrete RvȾ PMFTCDF Ch .3 Ch .4 - cannot sonopmfexistsforit . assign #toacouti# CDF iscontinu;us E§KD=f .gg#fxtddxthereisnojwmpCdisaetejfliffereutiateUn*RVPDF=fxf*)=dFx(x)fxxs=Eeoajnggxcb where b>a nfxfx) £ a x=b7× x=a 9=0 b=1 Gannett Mrtfoouhindn , where rxo ifrisaninter,er Mr )=Cr¥ hD*7(rt ) NokM㱺=ft Exponentially where xW={ xejxxjxoszo , Students ×) slowly arriving loaders J. Mare x=o1 independent ltsumqallthelimdstndentsshowupftotdarrirdtime : .. .tX3o y=Xit Y=×t . txn T sun independent,identicallystributexponential RV 's Orlindependht qn=3oIID( # exp.RV allhavesame PDF ErlangR÷ ⾨s{ xnxx.be#jnoxey.wmxnsat Mr )=SFurEudn=( my EW=f°•xH#÷e*d× of Find : =¥yFoxnx"e*d× EH ,VarK) =p.tn#c*ye*dxLetu=Xx x㱺ˠu㱺 Know : dat =¥wFouneudg du=xdxoȾu㱺o EW=feooXf×C㱺dx ==÷*¥sf:u!eIȼµ , d⾨dx www..EC/H-E4x ) ,t*ln#tD =÷*nn÷* " , MT€DqexpRv=÷, =h##× - Recap Ekker fxkD=fz(x#)*I ,VarW=z =¥#e€#*I , ooctoo arb""raX~N(µ,j ZȾ CD,standGaussian %T ×㱺Z+µ Hutten , =£gEME¥)}p#%x Whawagiven Thereon " eYIEffY# :TȾiahnYm* . ZȾStmdardGaussianR÷ State:CDFqxt%o)eexpnessedusiy Give: CDFOFZ ~ fz(z)ȾFzH=4Cz ) to Z StandardaussianN nfztz Hu )=PCzE) AT Z =µoofz(z)dz 2=o⾨u Wte# , " 64¥10 are%PDFof-00 Qlukhlfu allthewaytou ) Twmplementary ffzs GaussiRVC㱺ard t¥¥¥ Qt.)Ⱦarueuoto0 =f0Yfz(2)d2 =L- 4k¥ DF generalized Given na \$ y=a×tb,whouX~N( MD ) Learn:d Fin: X=Jz+µ fylyektb =a(2z+µ)tb =aJz+aµtb yx if Y㱺'z+µ ' Hlisagaussiankv y~Nlµ') fycyt.to#etEFTD,.ooyctooThestandardnormalRVzistheGaussianl0.DkV TanuseittoexpressRVy Wednesda, March 2,2016 (µ,DȾ Standard (µ ,j)ȾVar Exam 1: Ginn: Find: Ghdeofrmdompgsonx µ=6s 6.5.29 How many studentsreceiveascorehigherthaitr ? j=µ ×¥;"N(¥45 Ma×=8o( Hstudeubj Learned : sthprosethiisnitginn > 79)=P( X=Jz+µ PG 202-+65>79 ) -202-+65 =PCz>z±o ) =P( 2>0.7 0.77=0.24 =24% a- table inbookfvebsik Approximately kstudentsreceinedasorehighesthan 79 . { - notexactlygaussian approx gaussian FMN likehuman heights ^5El㱺 rectanguPulse . SEE Ye ; EEXETE areadoesnotdepeudone E ± )={ 0 ;O.w . Sets 5(x)=Lt E. fjgadxso )dx=L gas x=o > fltoslxsdxtssotscx limitindudestheimpuke F㱺S(x)dx - areaofimpnk =L a ^ ex) Sc) Stea) > to z=a faatscxa )dx=1 limitincludesimpulse ex - na .a) 'Iohr㱺du={ sopoxja ^g(xa) aucxa defatted sap , function Us U .4 DRV CRV PNF 㾎 / 㾎 CDF ( ) 㾎 PDF : : CDF :# 'd 2 x=E§,.n:}§ pn{ Pi...tPn=1 m ± i At xtn F×(x)=Ru(XXD+Pzulx . xiitpnuhxn ) PDF KSCXXDT .- tpnslxxu :fxCx)=dF¥x)= ^Fx)x ^Fxlx) DRV '× ntxl) freshens Mri X.Mixed RV x=Jzty Changessplacement with DAD graphs EDRVX has Dwhntisth CDFEKD ? fxlxks'jEg0£wxE2={xF¥jofoote ȼ⾨o uppeslimitinduous ȼX=2 wholePDFWWNXZZ A harderlimiproduces Ixoofxluldu 㱺tY¥*9§ dei :E'xiixxth 2 fbthdoutqfa PDF\$& (¥¥ cohtinuouspq 10.11e) , "" adievirgmaxvalm Xi " ye ⾨o, ad 㱺 xkz >x 3)Whfistyly? 2)ww- isPHD ? P(y=1)=P( KXEZHEH FXLD FyY={ ?,oȼya =/ - 1 ;yz1 3¥ 4 4)fy(g) 9¥50 PDFH )-differentiQCDFn fits £s㱺#at㱺'h '#jYg!ppy¥y , )? Ex 6)Va'T*¥+syYI¥)dy2 §E(y Ekp ) ftp.T#aXYaDdy

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Jennifer McGill UCSF Med School

#### "Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over \$500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

Jim McGreen Ohio University

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com