New User Special Price Expires in

Let's log you in.

Sign in with Facebook


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


Create a StudySoup account

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

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Week 4 Of Notes STATS

by: Christian Anthony

Week 4 Of Notes STATS 220

Marketplace > James Madison University > Math > 220 > Week 4 Of Notes STATS
Christian Anthony

Preview These Notes for FREE

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

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

These notes cover Compound Events, Contingency Tables, and Complements. These are all VERY important to the exam.
Elementary Statistics
Mr. Greg Jansen
Class Notes
Stats 220
25 ?




Popular in Elementary Statistics

Popular in Math

This 3 page Class Notes was uploaded by Christian Anthony on Monday February 8, 2016. The Class Notes belongs to 220 at James Madison University taught by Mr. Greg Jansen in Winter 2016. Since its upload, it has received 34 views. For similar materials see Elementary Statistics in Math at James Madison University.


Reviews for Week 4 Of Notes STATS


Report this Material


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: 02/08/16
STATS NOTES 4 Feb. 1st and 3rd 4.1 Probability Probability- Chance behavior is unpredictable in the short run, but predictable in the long ru.​ Sample Space- A set of all possible outcomes of an experiment. Events- Outcomes of interest from a sample space. These are represented by any capital letter. (B for bunnies, F for food.) Set Notation- How a sample is written: {_,_,_,_,_} this example uses blanks instead of actual numbers. Keep in mind the brackets must be curly. {I’m serious.} EX:​​ssume we’re selecting from a list of all states that begin with an A. Find the EVENT that a state touches the Pacific. Sample: {AK,AL,AR,AZ} P(for Pacific): {AK} The PROBABILITY of an event is the proportion of times the event is expected to occur. For examples, heads and tails of a coin. The Probability of Heads is ½. P(H)=½ EX: ​ind the EVENT of rolling a fair die and getting an even number, and find its probability. S={1,2,3,4,5,6} E(for event)={2,4,6} P(for probability)= 3/6, or ½, or 50%. The formula for this process is simple, but I’ll put it here anyway: P(A)=  The number of outcomes in A/the number outcomes in S *this formula only works if all outcomes are equally likely. PROPERTIES: ● 0≤ P(A) ≤ 1, inclusive. ● 0 means there is no chance, while 1 means something is guaranteed to occur. ● “Unusual Events”- these are events with less than a .005 percent chance of happening. *All of these points are only for THEORETICAL probability. EMPIRICAL PROBABILITY Repeating experiments many time, and using the proportion of times that a specific outcome occurs. EX: If there are 2,057,979 boys and 1,963,747 girls born in the US in 2002, determine the probability of a newborn being a boy. 2,057,979 4,021,726 = .517 Law of Large Numbers- As we repeat an experiment many times, the proportion of times the event occurs will approach its true probability. 4.2 Compound Events These use “and”/”or”. ● A and B ● A or C ● A and B and C These are ideas that combine one or more events at the same time. EX: ​ut of all 50 states, list those that touch the Pacific. List those that begin with A. Now list those that touch the Pacific AND begin with A. Then list those that begin with A OR touch the Pacific. A= {AL,AR,AK,AZ} P= {CA,OR,WA,HI,AL} A and P= {AL} A or P= {AL,AR,AK,AZ,CA,OR,WA,HI} CONTINGENCY TABLES: These are tables that display data: first data must be tallied, then counted, then put into these tables. EX: Young v. Old people, with high v. low blood pressure. HIGH BLOOD LOW BLOOD TOTALS PRESSURE PRESSURE YOUNG PEOPLE 82 125 207 OLD PEOPLE 74 89 163 TOTALS 156 214 370 1) How many people are young AND have high blood pressure? 82 2) How many people are young OR have high blood pressure? 281 3) Probability of Young AND High blood pressure? 82/370 *The P of (A or B)= P(A)+P(B)-P(A and B) Mutually Exclusive- Two events are mutually exclusive if they cannot occur at the same time. (Also called disjoint). The P(A and B)= 0. COMPLEMENTS: A complement is where an event doesn’t occur. So an A complement means A doesn’t happen.   P(Ac )= 1-P(A) Random Variables: ● A numerical outcome of a probability experiment. ● The have an unknown outcome, but a known pattern of probabilities.


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

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

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."

Janice Dongeun University of Washington

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

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!"

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund 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


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:

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

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.