### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# 212 Study Guide for STAT 22500 at Purdue

### View Full Document

## 13

## 0

## Popular in Course

## Popular in Department

This 3 page Study Guide was uploaded by an elite notetaker on Friday February 6, 2015. The Study Guide belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 13 views.

## Similar to Course at Purdue

## Reviews for 212 Study Guide for STAT 22500 at Purdue

### What is Karma?

#### Karma is the currency of StudySoup.

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

Date Created: 02/06/15

Stat 225 Topics for Exam 2 To study for Exam 2 practice the following skills will be helpful This list is not exhaustive and is only meant as a guide to help you study 0 Random Variables gt gt Understand the difference between Event and Random Variable Know the difference between discrete and continuous random variables Be able to write down the PMF table for a random variable described in a story problem make sure that your probabilities add up to one Graph PMFs in form of histograms Compute probabilities and conditional probabilities using the Fundamental Probability Formula for a random variable with given PMF 0 Expected value Variance gt Compute expected values of a random variable from the PMF table or from a Histogram Know the basis properties of expected value EaX b aEX b Definition of variance and standard deviation and how to compute them Basic properties of variance both for dependent and independent random variables 0 You should be familiar with the Bernoulli Binomial Hypergeometric Geometric Negative Binomial and Poisson distributions gt For a random variable described in words X of you should be able to identify its distribution and determine the values of all relevant parameters In problems asking you to compute a probability expected value or variance for a story problem you may have to define the random variable in words yourself X of and identify its distribution along with all relevant parameters and then rephrase the question in probability notation and use the appropriate formulas to find the solution Here are some facts that you should be aware of concerning the above distributions The sum of n independent Bernoulli trials has a Binomialn p distribution Binomial approximation to the Hypergeometric is appropriate if N gt 2017 Lackof Memory property of the Geometric distribution PXnlegtnPXc Computing tail probabilities for a geometric random variable PX gt n l p The sum of r independent Geometric p random variables has a Negative Binomialr p distribution Poisson approximation for the Binomial is appropriate if N gt100 and p lt 001 In this case A np The sum of two independent Poisson 11 and Poisson AZ random variables has a Poisson 11 12 distribution Bivariate Distributions gt V Understand what the joint probability mass function p N x y is and how to obtain one from a story problem Compute the marginal distributions of both random variables involved Compute expected values and variance for both random variables Compute covariance and correlation of the two random variables Know what these quantities measure The concept of independence and how to check from a given joint PMF table whether or not the random variables are independent You should be able to compute conditional probabilities e g PX gt 4 Y 1 and probabilities like eg PX Y gt 4 from a givenjoint PMF table Compute the variance of a linear combination of random variables that are not independent e g Var2X 3Y Continuous Random Variables Probability Density functions PDFs I Know the conditions a PDF must satisfy I Be able to sketch a PDF Cumulative Density functions CDFs I Know how to compute a CDF from a PDF I Know how to compute the PDF from a CDF I Know the definition of CDF Know how to compute probabilities using either the PDF or the CDF and know how to read the probabilities from a PDF or CDF graph Know how to compute the expected value and variance from a PDF Know how to compute the median or other percentiles from a given PDF or CDF

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

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

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "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."

### 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

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.