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**Warm-up 6.2 Binomial Distribution (Day 2)**

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**Student of the day! Block 4**

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**Student of the day! Block 5**

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**Review of binompdf and binomcdf**

It is estimated that 15% of the population suffers some form of mental illness at one point of their lives. In a small company that employs 20 employees. Determine the probability that 2 employees suffer or had suffered some form of mental illness. 2) Delores has a free-throw shooting percentage of What is the probability that she makes no more than 5 free throws out of 10 attempts?

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**Probability Distribution Binomial Distribution**

6.2 Binomial Distribution Formulas vs. Probability Distribution Formulas Probability Distribution Binomial Distribution

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**6.2 (Day 2) Binomial Distribution Finding the mean and SD**

Characteristics of Binomial Distribution: As n increases, the distribution becomes more normal.

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**Shape, Center and Spread**

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H.W. and quiz next block 6.2 E #23-25 Be ready for a quiz on 6.1 and 6.2 You will be given the following formulas on the day of the quiz:

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**Conclusions from Student Feedback A.P. Statistics**

Good and should keep Changes and or/ ideas Printed Notes Documents on Sharepoint Clearly labeled daily schedule Practice Tests Collaborative Work Student of the day! FYI: The calculator can be used on all the exam. There is no non-calculator section. Those of you that want access to A.P. Released Material, bring a flashdrive and come in during Block 7. I will be happy to give you files. More A.P. type questions - I have incorporated A.P. released Qs. - I will include more A.P. type questions in a game or activity for each chapter. Reduce # of items on agenda ½ the class likes activities and other don’t. - Solution: differentiated instruction, there will be days where you can chose to do an activity or A.P. type questions

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**Multiple Choice Practice on Probability**

A binomial event has n = 60 trials. The probability of success on each trial is 0.4. Let X be the count of the successes of the event during the 60 trials. What are ? 24, 3.79 24, 14.4 4.9, 3.79 4.90, 14.4 2.4, 3.79

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**2) Consider repeated trials of a binomial random variable**

2) Consider repeated trials of a binomial random variable. Suppose the probability of the first success occurring on the second trial is What is the probability on the first trial? 1 1/8 3/16

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3) Russell’s parents buy two apples each weekend, and put them in his lunch on two randomly selected weekdays of the following week. What is the probability that Russell gets an apple on exactly one of Monday or Tuesday next week. (a) (d) (b) (e) (c)

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**4) Delores has a free-shooting percentage of 0. 65**

4) Delores has a free-shooting percentage of What is the probability that the first free throw she manages to make is on her 4th attempt. Which of the following would lead to the correct answer? Binomcdf (4, 0.65, 1) Binompdf(4, 0.65, 1) (0.65)(1-0.65)3

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**Draw a two-way table of the data. **

BONUS QUESTION! At Kennett High School, 5% of athletes play football and some other contact sport, 30% play football, and 40% play other contact sports. If there are 200 athletes, how many play neither football nor any contact sport. Draw a two-way table of the data. Solve for how many students (not percent) play neither football or any contact sport.

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**A.P Statistics Released Question reflecting knowledge of formula**

Information Given: Choices

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**Other side to Cumulative Probability worksheet**

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3. In 20 trials 12 successes is the same as 8 failures. Also if a success is 0.7, then a failure is (1-0.7) = 0.3 .

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H.W. Etc… 6.2 E #23 – 25 Look at both assignments: A.P. Practice of Ch. 5 and Ch.6 and One-Boy Family Planning Decide which one you want to complete and print it for February 6th (Monday) February 2nd (Thursday) 6.3 Geometric Distribution and Quiz on 6.1 and 6.2 February 6th (Monday) A.P. Statistics finished more details on 6.3 and start on selected assignment 1st day of Ntbk Check February 8th (Wendesday) Practice Ch. 6 Test and finish selected assignment Ch. 6 Test on Friday February 9th!

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**Answers to Whiteboard Review**

1) a ) c 2) c Bonus! Two-way table should 3) d show that 70 athletes 4)c are not in either football 5) c or a contact sport. 6) b 7) c

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Lesson Objective Be able to calculate probabilities for Binomial situations Begin to recognise the conditions necessary for a Random variable to have a.

Lesson Objective Be able to calculate probabilities for Binomial situations Begin to recognise the conditions necessary for a Random variable to have a.

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