×

### Let's log you in.

or

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

×

or

by: Mara DePena

27

0

2

# STAT 2004, Week 5 Notes: Probability STAT 2004

Mara DePena
Virginia Tech
GPA 3.62

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

×
Unlock Preview

These notes cover the first week of probability and go over the Law of Large Numbers and how to calculate probability. The notes include two example problems with guided solutions.
COURSE
Introductory Statistics
PROF.
Metzger
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Statistics, introductory, Probability, law of large numbers, addition, multiplication, calculate, Disjoint, independent, Cards, die, dice, mutually, exclusive
KARMA
25 ?

## Popular in Statistics

This 2 page Class Notes was uploaded by Mara DePena on Sunday February 21, 2016. The Class Notes belongs to STAT 2004 at Virginia Polytechnic Institute and State University taught by Metzger in Spring 2016. Since its upload, it has received 27 views. For similar materials see Introductory Statistics in Statistics at Virginia Polytechnic Institute and State University.

×

## Reviews for STAT 2004, Week 5 Notes: Probability

×

×

### 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: 02/21/16
STAT 2004 WEEK 5  A bar plot is used to summarize categorical variables. PROBABILITY The proportion of times an outcome would occur if repeated infinitely many times.  Sample space- Represents possible outcomes.  Law of Large Numbers- As the number of trials increases, the estimate goes closer to the true probability. In other words, as a sample size increases. A statistic gets closer to the parameter it is estimating.  Example problem one: Find P(7) (probability of rolling a 7) with two fair independent dice. o How can a 7 be rolled?  S (sample space)= {(1,6) or (2,5) or (3,4) or (6,1) or (5,2) or (4,3)} o Mutually exclusive/disjoint- Cannot both happen together. (Ex: Sanders and Bush cannot both be elected president.) In this example, you cannot get two of these results at the same time.  Addition Rule of Disjoint Outcomes- If A1 and A2 represent two disjoint outcomes, then the probability that one of them occurs is given by P(A1 or A2) = P(A1) + P(A2).  In this example we add the individual probabilities for each pair, and multiple the probabilities for each die.  {(1,6) or (2,5) or (3,4) or (6,1) or (5,2) or (4,3)}= (1/6) x (1/6) + (1/6) x (1/6) +(1/6) x (1/6) +(1/6) x (1/6) = 6/36 or 1/6  A summary of the rules… o If A and B are disjoint…  P(A or B)= P(A) + P(B) o If A and B are independent (knowledge of one doesn’t affect knowledge of the other)…  P(A and B)= P(A) x P(B) o If A and B are not disjoint…  P(A or B)= P(A) + P(B) – P(A and B)  Example problem two: o We have 52 card deck. It consists of the numbers 1-10 and jacks, queens, kings, and aces. Suits are diamond and heart (red), and club and spade (black). o What is the probability of having a red King?  There are 52 cards, and two red Kings: the King of Diamonds and the King of Hearts. Therefore P(red King)= 2/52. o What is the probability of drawing a card that is red or a King?  P(red or King)= P(R) + P(K) – P(R and K)  (26/52) + (4/52) – (2/52)= 28/52

×

×

### 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

Steve Martinelli UC Los Angeles

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

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

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