Warm-up6.3 Geometric Distribution and 6.1 and 6.2 Quiz

Suppose you flip a fair coin 8 times. 1) What is the probability that you get heads 3 times?

2) At least 25% heads?

3) Exactly 25% heads?

4) What will be the expected value?

5) What is the standard deviation?

6.2 E #23 - 25Binompdf (5, 6/36, 1)

Binompdf(5, 6/36, 3)

1- Binompdf (5, 6/36,0)

Binomcdf (5, 6/36, 1)

Binompdf(5,0.5,3)

6.2 H.W. Answers continued…

Binompdf(5, 54/90,1)

1- Binompdf(5,54/90,0)

1 – Binomcdf (25, 0.127, 1)

Information about A.P. Exam RegistrationHi 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 PARENTSemail account.Please remind students to register under their studentname and not their parents. (yes this is happening!) Thank you, Kathy Presby M.A.

Student of the day!Block 4

Student of the day!Block 5

6.3 Geometric Distribution • Same as Binomial Distribution Success or Failure, p doesn’t change over trials and each

trial is independent of each other• Only 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 time• There 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?

ppkXP k 1)1()(

1.0)1.01()2(

1.0)1.01()1(

)1()(

12

11

1

XP

XP

ppkXP k On the 1st try, what is the probability that the event occurs?

k = # of trials

Delores has a free-shooting percentage of 0.65. What is the probability that the first free throw she manages to make is on her 4th attempt.

Characteristics of Geometric Distributionsand 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 to check before they find a donation of type A blood.

Number of trials for 2 SuccessesLet’s say the blood bank technician needs to find twodonations of type A blood.

Practice ProblemThe phone line for a 24-hour ticket office is busy about70% 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.

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 Planning• Also 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 for Random 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 6.3 5 + warm-ups (5 x 14 pts = 70 pts) 10 notes 4 warm-up 28 + 70 = 98

Next couple of classesFebruary 6th (Monday) A.P. Statistics finish notes

on 6.3 and start on selected assignment 1st day of Ntbk CheckFebruary 8th (Wednesday) Practice Ch. 6 Test and

finish selected assignment. Ch. 6 Test on Friday February 9th!