×

### Let's log you in.

or

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

×

or

## Probab and Statistics I

by: Annamarie Kunze

41

0

2

# Probab and Statistics I MATH 4339

Annamarie Kunze
University of Texas-Pan American (UTPA)
GPA 3.82

Xiaohui Wang

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

COURSE
PROF.
Xiaohui Wang
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Math

This 2 page Class Notes was uploaded by Annamarie Kunze on Thursday October 29, 2015. The Class Notes belongs to MATH 4339 at University of Texas-Pan American (UTPA) taught by Xiaohui Wang in Fall. Since its upload, it has received 41 views. For similar materials see /class/231310/math-4339-university-of-texas-pan-american--utpa- in Math at University of Texas-Pan American (UTPA).

×

## Reviews for Probab and Statistics I

×

×

### 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: 10/29/15
Chap 2 Axioms of Probability Motivating Example EX A 5card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 cards of the same denomination That is a full house is three of a kind plus a pair What is the probability that one is dealt a full house 22 Sample Space and Events A pair of concepts Sample space the set of all possible outcomes of an experiment Denoted by S Event any subset of the sample space is know as an event Denoted by E EX First row a die then toss a coin What is the sample space Example on textbook bkpg 2223 Union Intersection and Complement 1 union E U F 2 Intersection E I F 3 Complement If Venn diagram Example The following table summarizes visitors to a local amusement park AllDay HalfDay P Pass ass Total Male 1200 800 2000 Female 900 700 1600 Total 2100 1500 3600 One visitor from this group is selected at random 1 De ne the event A as the visitor purchased an allday pass 2 De ne the event B as the visitor selected purchased a halfday pass 3 De ne the event C as the visitor selected is female Describe the relationship and draw Venn diagram Rules for operation of forming Unions Intersections and Complements 1 Commutative lawsEUFFUE E FF E 2 Associative laws E UF U GEU FU G E F GE Ff G 3 DistributivelawsEUF GE GUF G 4 DeMorgan s laws quotWEIC OE i1 i1 i1 i1 We will come back to these rules when we need them later in this chapter 23 Axioms of Probability n E Relative frequency de nition of probability P E 11mg quot900 n Here an experiment with sample space S is repeatedly performed under same conditions E is an event in the sample space nE is the number of times in first 71 repetitions of the experiment that the event E occurs Axiom l3 bkpg 27 Examples on textbook bkpg 28 24 Some Simple Propositions PEC l P E IfEC F thenPE SPF PE U F PE PE PE W F General Addition Rule If E and F are mutually exclusive then PE U F PE PF Special Addition Rule ie DeMorgan s laws Example A consumer is selected at random The probability the consumer has tried a snack food F is 05 tried a new soft drink D is 06 and tried both the snack food and the soft drink is 02 Find the following probabilities l Pdid not tried snack food 2 Ptried neither snack food nor soft drink 3 P tried snack food but not soft drink 4 P tried snack food or soft drink 25 Sample Spaces Having Equally Likely Outcomes Now we consider the situation all outcomes in the sample space are equally likely to occur Say the sample space is S and E is the event in the sample space then number 0 outcomes in E PE f number of outcomes in S Examples on textbook bkpg 34 35 37 39 27 Probability as A Measure of Belief Read the textbook bkpg 48

×

×

### 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!"

Anthony Lee UC Santa Barbara

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

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