《统计学基础(英文版·第7版)》教学课件les7e04 02.pptx
《《统计学基础(英文版·第7版)》教学课件les7e04 02.pptx》由会员分享,可在线阅读,更多相关《《统计学基础(英文版·第7版)》教学课件les7e04 02.pptx(37页珍藏版)》请在三一办公上搜索。
1、统计学基础(英文版第7版)教学课件les7e_ppt_04_02-(1),统计学基础(英文版第7版)教学课件les7e_ppt_,Chapter Outline,4.1 Probability Distributions4.2 Binomial Distributions4.3 More Discrete Probability Distributions,.,Chapter Outline4.1 Probability,Section 4.2,Binomial Distributions,.,Section 4.2Binomial Distributi,Section 4.2 Objecti
2、ves,How to determine whether a probability experiment is a binomial experimentHow to find binomial probabilities using the binomial probability formulaHow to find binomial probabilities using technology, formulas, and a binomial probability tableHow to construct and graph a binomial distributionHow
3、to find the mean, variance, and standard deviation of a binomial probability distribution,.,Section 4.2 ObjectivesHow to d,Binomial Experiments,The experiment is repeated for a fixed number of trials, where each trial is independent of other trials.There are only two possible outcomes of interest fo
4、r each trial. The outcomes can be classified as a success (S) or as a failure (F).The probability of a success, P(S), is the same for each trial.The random variable x counts the number of successful trials.,.,Binomial ExperimentsThe experi,Notation for Binomial Experiments,.,Notation for Binomial Ex
5、perime,Example: Identifying and Understanding Binomial Experiments,Decide whether each experiment is a binomial experiment. If it is, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not, explain why.,A certain surgical procedure has an 85% chance of
6、 success. A doctor performs the procedure on eight patients. The random variable represents the number of successful surgeries.,.,Example: Identifying and Under,Solution: Identifying and Understanding Binomial Experiments,Binomial ExperimentEach surgery represents a trial. There are eight surgeries,
7、 and each one is independent of the others.There are only two possible outcomes of interest for each surgery: a success (S) or a failure (F).The probability of a success, P(S), is 0.85 for each surgery.The random variable x counts the number of successful surgeries.,.,Solution: Identifying and Unde,
8、Solution: Identifying and Understanding Binomial Experiments,Binomial Experimentn = 8 (number of trials)p = 0.85 (probability of success)q = 1 p = 1 0.85 = 0.15 (probability of failure)x = 0, 1, 2, 3, 4, 5, 6, 7, 8 (number of successful surgeries),.,Solution: Identifying and Unde,Example: Identifyin
9、g and Understanding Binomial Experiments,Decide whether each experiment is a binomial experiment. If it is, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not, explain why.,A jar contains five red marbles, nine blue marbles, and six green marbles.
10、You randomly select three marbles from the jar, without replacement. The random variable represents the number of red marbles.,.,Example: Identifying and Under,Solution: Identifying and Understanding Binomial Experiments,Not a Binomial ExperimentThe probability of selecting a red marble on the first
11、 trial is 5/20. Because the marble is not replaced, the probability of success (red) for subsequent trials is no longer 5/20.The trials are not independent and the probability of a success is not the same for each trial.,.,Solution: Identifying and Unde,Binomial Probability Formula,Binomial Probabil
12、ity FormulaThe probability of exactly x successes in n trials is,n = number of trialsp = probability of successq = 1 p probability of failurex = number of successes in n trialsNote: number of failures is n x,.,Binomial Probability FormulaBi,Example: Finding a Binomial Probability,Rotator cuff surger
13、y has a 90% chance of success. The surgery is performed on three patients. Find the probability of the surgery being successful on exactly two patients. (Source: The Orthopedic Center of St. Louis),.,Example: Finding a Binomial Pr,Solution: Finding a Binomial Probability,Method 1: Draw a tree diagra
14、m and use the Multiplication Rule.,.,Solution: Finding a Binomial P,Solution: Finding a Binomial Probability,Method 2: Use the binomial probability formula.,.,Solution: Finding a Binomial P,Binomial Probability Distribution,Binomial Probability DistributionList the possible values of x with the corr
15、esponding probability of each.Example: Binomial probability distribution for Microfacture knee surgery: n = 3, p = Use binomial probability formula to find probabilities.,.,Binomial Probability Distribut,Example: Constructing a Binomial Distribution,In a survey, U.S. adults were asked to identify wh
16、ich social media platforms they use. The results are shown in the figure. Six adults who participated in the survey are randomly selected and asked whether they use the social media platform Facebook. Construct a binomial probability distribution for the number of adults who respond yes. (Source: Pe
17、w Research),.,Example: Constructing a Binomi,Solution: Constructing a Binomial Distribution,p = 0.68 and q = 0.32n = 6, possible values for x are 0, 1, 2, 3, 4, 5 and 6,.,Solution: Constructing a Binom,Solution: Constructing a Binomial Distribution,Notice in the table that all the probabilities are
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 统计学基础英文版·第7版 统计学基础英文版·第7版教学课件les7e 04 02 统计学 基础 英文 教学 课件 les7e
链接地址:https://www.31ppt.com/p-1298830.html