Official 2020 AP Stats Exam College Board Lesson #13 Transforming and Combining Random Variables 4_22_2020


Hi All!



That was a nice lesson from Brendan Murphy!  Here are my take-aways and teacher comments:



Brief Reminders:




  • Lessons: April 6-10: Units 6-7 taught first because many schools either didn’t get to these entirely or at all (we did get through most of this); April 13-May 1: Units 1-5
  • AP Stats Exam Friday May 22 from 2-2:45 EST
  • All resources available at Statsmedic.com/youtube
  • If you need a device take the Exam go to cb.org/tech



Last night’s “card game” homework:

  • Nice multiple choice and reminder of BINS for a Binomial setting



Example #1--1997 Acorn Book MC #5:

  • Nice explanation that probabilities must add to = 1
  • Nice solving for the unknown explanation



Example #2—MC “SAT” question #6:

  • Nice review that you need to add variances (ALWAYS ADD with spread) and then take square root to get standard deviation and that the events need to be independent for this



Example #3-- 2007 AP Exam MC #26

  • Nice review that you need to add variances (ALWAYS ADD with spread) and then take square root to get standard deviation and that the events need to be independent for this, nice box of cereal analogy.  This time it states in the question that the events are independent



Example #4 “Photocopy Machines” – 2001 AP Exam FRQ #2

  • Nice review of expected value and explanation of a comparison in words



Example #5 2015 AP Exam “ATMs” FRQ #3

  • a):  Show work for support for the probability calculation
  • b):  Nice review of expected value from a probability distribution table
  • c): Nice conditional probability calculation explanation
  • d): Nice explanation as to why the answer is “higher”



Example #6 2002 AP Exam “runners” FRQ #3

  • a):  Nice reminder of how to do a probability calculation using a z-score and the normalcdf function
  • b):  Nice review that you can just add the means but. again, you need to add variances (ALWAYS ADD with spread) and then take square root to get standard deviation
  • c): Another nice reminder of how to do a probability calculation using a z-score and the normalcdf function





If you can, do the MC homework from the 2012 AP Test #8 (or watch the recoding at you leisure) and follow along as we learn.



As always please email me with questions, comments, thoughts.



Take care!

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