Presentation on theme: "Warm-up 6.3 Geometric Distribution and 6.1 and 6.2 Quiz"— Presentation transcript:
1 Warm-up 6.3 Geometric Distribution and 6.1 and 6.2 Quiz Suppose you flip a fair coin 8 times.What is the probability that you get heads 3 times?At least 25% heads?Exactly 25% heads?What will be the expected value?What is the standard deviation?
4 Information about A.P. Exam Registration Hi team,Please advise and remind students taking the AP exam that to register they needto go to:www.ocsarts.net/apexam. Or at the bottom of the OCHSA website visitAP Exams (under Master Calendar)TWO IMPORTANT POINTS TO SHARE WITH YOUR STUDENTS PLEASE! They will then be prompted to put in their User ID and Password . Thisis their PARENTS User Id and Password. If they forgot, they can click onthe forgot prompt and it will send the information to their PARENTSaccount.Please remind students to register under their studentname and not their parents. (yes this is happening!)Thank you,Kathy Presby M.A.
7 6.3 Geometric Distribution Same as Binomial DistributionSuccess or Failure, p doesn’t change over trials and each trial is independent of each otherOnly difference is x or k represents how many trials occur until there is the first success.The # of trials that occur is often called the waiting timeThere is no fixed number of trials, only the # of trials until the first success occurs.Example : About 10% of the U.S. population has type Bblood. What is the probability that the third donation ablood bank technician checks is type B?
9 k = # of trialsOn the 1st try, what is theprobability that the event occurs?Delores has a free-shooting percentage of 0.65.What is the probability that the first free throw she manages tomake is on her 4th attempt.
10 Characteristics of Geometric Distributions and how to use the formulas Problem: The probability of a type A blood donation is 0.4. On average,how many donations will the blood bank technician have tocheck before they find a donation of type A blood.
11 Number of trials for 2 Successes Let’s say the blood bank technician needs to find two donations of type A blood. Practice Problem The phone line for a 24-hour ticket office is busy about 70% of the time. a. If you dial at random times throughout the week, what is the expected number of tries it will take you to get through? What is the standard deviation of the number of tries? b. What is the expected total number of times you will have to dial if you forget to ask a question after getting through the first time and have to call again.
12 Directions for Quiz and H.W. Work on the quiz carefully.When you finish turn it in at the front of the class.Read 6.3, define the terms and copy the definitions.Next block bring your chosen assignment: A.P Practice of Ch. 5 and 6 OR One-Boy Family PlanningAlso have your notes ready for the Notebook CheckTerms: Expected Value (6.1), Linear Transformation (6.1),Binomial Dist. (6.2), Geometric Dist.(6.3)Formulas: Expected Value(6.1), Variance(6.1), LinearTransformation (6.1), Addition and Subtraction Rules forRandom Variables (6.1), Probability formula for BinomialDistribution (6.2), Binomial Distr. Mean and S. D. formula(6.2) ,Geometric Dist. Formula (6.3), Mean and S.D. of GeometricDist. (6.3) : 14 in all ( 14 x 2 = 28 pts) 6. 1 to warm-ups(5 x 14 pts = 70 pts) 10 notes 4 warm-up = 98
13 Next couple of classesFebruary 6th (Monday) A.P. Statistics finish notes on 6.3 and start on selected assignment 1st day of Ntbk Check February 8th (Wednesday) Practice Ch. 6 Test and finish selected assignment. Ch. 6 Test on Friday February 9th!