# Review Exam 2 (Chapter 13-18)/Math 1680/Ms. Stonebraker

Yüklə 10.62 Kb.
 tarix 16.04.2016 ölçüsü 10.62 Kb.
 Review Exam 2 (Chapter 13-18)/Math 1680/Ms. Stonebraker Study: Quizzes, notes, and reread through the book starting with the summary portion of the chapters. If you have time, work through problems in the book again… Chapter 13 (What are the Chances?) / Chapter 14 (More about Chances): Be able to: Make use of the multiplication rule This rules is associated with ‘and’ statements Make use of the addition rule This rule is associated with ‘or’ statements You can only add two events probabilities if they are mutually exclusive Recognize, discuss, and justify independence and dependence Find the probability there is at least one __________ Find the probability there is no __________ Make use of compliments P(not A) = 1 – P(A) Recognize a scenario’s sample space and sample size For Example: Roulette has a sample size of 38, and its sample space is 0, 00, 1, …, 37, and 38. Quizzes are a great study guide for this and pretty much all of the sections. Chapter 15 (Binomial Formula): Be able to: Recognize when you can and cannot use binomial formula To use binomial Each time the process is repeated, outcomes can be classified as either successes or failures Each time the process is repeated there is the same probability of a success occurring Successive outcomes are independent of one another Recognize when you need to use combination and when you need to use permutation Simplify permutations or combinations nCr = = …order doesn’t matter nPr = ….order is significant Work a problem applying the binomial formula when we are trying to find the probability of having Exactly a certain amount of successes More than a certain amount of successes Less than a certain amount of successes At least a certain amount of successes No more than a certain amount of successes Chapter 16 (The Law of Averages): Be able to: Apply the law of averages Recognize when the law of averages is in favor of a certain event or not Find absolute chance error and relative chance error given a scenario Set up a box model for an independent chance process Recognize how many draw will be needed from the box Chapter 17 (The Expected Value and Standard Error): This section is important. Pay close attention and be able to work out what lies within. Be able to: EVBOX is the average of a box model EVSUM = EVBOX N SDBOX = (BIG – SMALL) This is the short cut method and only applies when there are only two types of tickets in the box SE = SDSUM = SDBOX Recognize that the sum is likely to be around the EVSUM give or take the SE or so. Use these values to standardize a sum Use the normal chart to determine the probability that your sum is less than, more than, or between certain values. Remember when you can and cannot use normal approximation You have to use binomial if the number of draws are less than 30 Use a box model to evaluate the sum of draws to find Net Gain/loss This answers the question “how much…?” You use the amount you win and lose to construct the box model Count the number of times an event occurred This answers the question “how many …?” You use 0’s and 1’s to construct this model Chapter 18 (The Normal Approximation for Probability Histograms): Be able to: Read a histogram and discuss how the bars represent probabilities Discuss and apply the central limit theorem Discuss what an empirical histogram is and when it starts to follow the expected probability histogram Remember: There is an additional question and answer time on Tuesday night April 12th t from 7-9pm in GAB 312. Make good use of this time. I will be there regardless if eighty people come or none shows.

Verilənlər bazası müəlliflik hüququ ilə müdafiə olunur ©azrefs.org 2016
rəhbərliyinə müraciət