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Warm-up 6.1 (Day 1) Random Variables and Expected Values

Warm-up 6.1 (Day 1) Random Variables and Expected Values. Suppose your roll a tetrahedral die and a regular six sided die. Draw a table or a tree diagram of your sample space of the results of the two dice (not the sum). What is the probability of getting doubles?

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Warm-up 6.1 (Day 1) Random Variables and Expected Values

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  1. Warm-up6.1 (Day 1) Random Variables and Expected Values Suppose your roll a tetrahedral die and a regular six sided die. • Draw a table or a tree diagram of your sample space of the results of the two dice (not the sum). • What is the probability of getting doubles? • What is the probability of getting a sum of 3? • Are the events of getting a sum of 4 and doubles disjoint? Are the events independent?

  2. Student of the day!Block 4

  3. Student of the day!Block 4

  4. Common mistakes on A.P. Midterm • Histograms have a scale (with intervals) on the x-axis and frequency on the y-axis. • For a simulation, you have to have a clear and consistent system and then follow directions. Form A – 0.2 have cat and dog (01-20 means cat and dog) 21- 99 and 00 means no cat and dog. One trial was selecting 2 digit numbers until you got a number between 01 and 20. Record results. Do 5 trials. Form B - #s were given to you 01 – 05 ($200), etc. You could have ignored #s 51 – 99 or doubled up (01 – 51, etc). You had to do 3 trials. 1 trial = over $300 prize money

  5. More mistakes on AP Midterm • When describing an experiment always include the randomization. * Don’t forget the parts of a well-designed experiment: randomization, control group, and replication • When comparing #s when data is given, use #s to support your answer. • If you want to see your answers with the exam and answer sheet come by during Block 7.

  6. Statistics Humor “The statistics on sanity are that one out of every four Americans are suffering from some form of mental illness.   Think of your three best friends.  If they’re OK, then it’s you."   (Richard Bach)

  7. Review Midterm along with Answer Keyduring Block 7 • You are welcome to come in during Block 7 and review your answers, along with the test and answer key. • I highly recommend this for those intending to take the A.P. Exam

  8. Creating a probability distribution Create a probability distribution of all the combinations. A probability distribution can be created of X. Let’s say X is the probability of selecting a patient whose lung is caused by smoking.

  9. Another probability distribution Suppose five students (Claire, Charlotte, Max, Alisa, and Shaun) belong to a club and two of them (Alisa and Shaun) take a bus to school. You randomly select three students from the club to serve on a committee that meets before school. Your goal is to construct the probability distribution of the random variable, X, defined as the number of committee members who take a bus to school.

  10. Expected Value mean of a probability distribution Suppose you are working for a contractor who is building 500 new duplexes and wants to the number of vehicles that will be parked by the two households occupying a duplex. He thinks the data collection is nice, but he wants the average number of vehicles.

  11. Finding Expected Value and Variance Step-by-step

  12. Complete the same steps with the data below H.W. Read 6.1, copy terms and formulas. Also complete P8 and P10

  13. H.W. for today • Read all of section 6.1; copy all the formulas and terms with definitions • Also you must also complete P8 and P10 • Unit 6.1 is very dense, we will continue to cover it next block

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