×

Let's log you in.

or

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

×

or

by: Wendy Liu

25

1

2

Statistics 401, Weeks 5 & 6 01:960:401

Marketplace > Rutgers University > Statistics > 01:960:401 > Statistics 401 Weeks 5 6
Wendy Liu
Rutgers
GPA 4.0

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

×
Unlock Preview

Covers intro to probability, counting rules, probability for independent and non-independent events, etc.
COURSE
Basic Statistics for Research
PROF.
Hei-ki Dong
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Statistics
KARMA
25 ?

Popular in Statistics

This 2 page Class Notes was uploaded by Wendy Liu on Thursday October 13, 2016. The Class Notes belongs to 01:960:401 at Rutgers University taught by Hei-ki Dong in Fall 2016. Since its upload, it has received 25 views. For similar materials see Basic Statistics for Research in Statistics at Rutgers University.

×

Reviews for Statistics 401, Weeks 5 & 6

×

×

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: 10/13/16
Week 5 & 6: Probability 4 October 2016, 11 October 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Probability – numerical measure of the likelihood an event will occur  Lies between 0 and 1  Sum of all probabilities of all possible outcomes is 1 Method 1: approximation  Empirical frequency obtained by experimentation Method 2: actual calculation  Classical, accurate probability P probability A, B,… denotes specific event P(A) denotes probability of event A Experiment – process of observing an event that has variable outcomes, and each single outcome cannot be predicted w/ certainty Ex: toss a dice Sample point – each single outcome of an experiment Ex: {1} {2} {3} {4} {5} {6} Sample space – collection of all possible outcomes Ex: {1, 2, 3, 4, 5, 6} Events – desired outcome(s) Ex: even{2, 4, 6} odd{1, 3, 5} {3, 4, 5, 6} Visual representations of probability  Listing  Venn diagram  Tree diagram  Contingency/two-way table Complement (Ā) – set of all outcomes that are not in A Union (A ∪ B) – set of all outcomes that are in A, B, or both Intersection (A ∩B) – set of all outcomes that are in both A and B Mutually exclusive – intersection A ∩ B is empty; no outcomes in common Law of Complement: Addition Rule: probability of A or B: ∪ Multiplication Rule: probability of A and B: Addition Rule for Mutually Exclusive events: ∪ Multiplication Rule for mutually exclusive events: Conditional probability – event probability given that another event occurred  Revise original sample space to account for new info  Eliminates certain outcomes P of A given B: Tests for independence: A and B are independent if  B has no influence on A:  A has no influence on B:  Total Probability: Baye’s Rule – given k mutually exclusive & exhaustive events such that and an observed event A, then  Permits revising old probabilities based on new info o Prior probability – associated w/ B and before we know status of A  and o Posterior probability – updated probability of B   Application of conditional probability  Mutually exclusive events Combinations – number of possible choices of r objects from a group of N distinct objects Permutations – number of possible selections of k objects from a group of N distinct objects in which the selection order matters

×

25 Karma

×

×

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

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

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!"

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