×

### Let's log you in.

or

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

×

or

## S301 Week 5 Lecture & Textbook Notes

by: Lauren Detweiler

98

0

3

# S301 Week 5 Lecture & Textbook Notes STAT-S301

Marketplace > Indiana University > Statistics > STAT-S301 > S301 Week 5 Lecture Textbook Notes
Lauren Detweiler
IU
GPA 3.98
Hannah Bolte

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

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

×
Unlock Preview

These notes cover the topics from Week 5 lectures, as well as all required concepts from the textbook that are not discussed in lecture.
COURSE
PROF.
Hannah Bolte
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Statistics

This 3 page Class Notes was uploaded by Lauren Detweiler on Thursday February 12, 2015. The Class Notes belongs to STAT-S301 at Indiana University taught by Hannah Bolte in Spring2015. Since its upload, it has received 98 views. For similar materials see Business Statistics in Statistics at Indiana University.

×

## Reviews for S301 Week 5 Lecture & Textbook Notes

×

×

### 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: 02/12/15
S301 Textbook Week 5 Ch 9 amp 12 pgs 200214 267285 Required concepts not covered in lecture Ch 9 I Notations a X random variable b a sigma standard deviation of a random variable 02 is variance c u mu the mean of a random variable The weighted sum of possible values with the probabilities as weights d EX expected value of X Equal to u A weighted average that uses probabilities to weight the possible outcomes e PXx the probability distribution of a random variable 11 Random Variable RV a The uncertain outcome of a random process b Discrete random variable i X is a discrete random variable when we can list all the outcomes ii Takes on one of a list of possible values typically counts c Continuous random variable i X is a continuous random variable when it can take on any value within an interval ii Shows how probability is spread over an interval rather than assigned to speci c values 111 Calculating Parameters for Discrete Random Variables a Calculating u MZZXj39PXx xl PXx1 xz PXx2x3 PXx3x4PXx4 1 b Calculating 02 02 Zxiu2Pxa x u2Px1x2 2Pxzxz2PxsxaM2Px4 1 IV Graphing Discrete RVs a Example V Expected Value a In this class the expected value is always the mean E X M b Adding subtracting a constant from an RV i Shifts every possible value of the RV changing the expected value by the constant ii EX i c EX Ec EX i c iii A shift has no effect on the variance or standard deviation of a random variable c Multiplying a constant with an RV i Changes the mean and standard deviation by a factor of c E cX 2 CE X SDCX cSDX ii Changes the variance by a factor of c VarcX czVarX d Rules for expected values i If a and b are constants andX is a random variable then EabX abEX SDa b X bSDX Vara b X szarX VI Best Practices e Use random variables to represent uncertain outcomes f Draw the random variable g Recognize that random variables represent models h Keep track of the units of the random variables Ch 12 1 Normal Continuous Random Variables i A random variable whose probability distribution defines a standard bell shaped curve j Continuous RV an RV that can conceptually assume any value in an interval ie on a bellshaped curve 11 Central Limit Theorem CLT k The probability distribution of a sum of independent random variables of comparable variance tends to a normal distribution as the number of summed random variables increases Explains why bellshaped distributions are so common m Assures our assumption of normality when considering a sample mean is well founded even if we cannot be entirely sure of the underlying distribution n Shows that extreme observations outliers have less effect as they are averaged in with more typical observations Ill Identifying PZ S 2 By Shading the Bell Curve 0 The first step toward determining the probability of observing a certain data point or sample mean begins with drawing a bell curve marking your mean and i 3 SDs and SHADING the area of interest p a p Example from lecture slides Example What is P O5 3 Z S 1

×

×

### 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!"

Allison Fischer University of Alabama

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over \$600 per month. I LOVE StudySoup!"

Bentley McCaw University of Florida

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