Official 2020 AP Stats Exam College Board Lesson #12 Binomial and Geometric Random Variables 4_21_2020

Hi all! 



That was a great lesson from Luke Wilcox!  Here are my take-aways and teacher comments:



Reminders

·         4 weeks of lessons and preparation for the exam is being taught/reviewed (recorded) M-F: 2-2:45 PM in these YouTube Lessons 😊  https://www.youtube.com/watch?v=glIPgqct4Dg&list=PLoGgviqq4845u-QDW3bikMhC4uQsuYDpy&index=20

• 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 homework MC “Bookstore example”:

• This is a nice review of and means multiply for probability

Example #1 “How many AP students are YouTubing?”

• 1): a nice review of Binary Independent Number of trials Same probability (BINS) for conditions for a BINOMIAL RANDOM VARIABLE.
• 2): Nice reminder of requirements for an approximately normal distribution
• 3): Nice review  and explanation (on the formula sheet) of mean (M_x=np) and standard deviation (Sigma_x=Sqrt(M_xq)) for a BINOMIAL RANDOM VARIABLE
• 4): Make sure that you include the variables if you use 2^nd àVars: A: binomialpdf(n=80, p=0.3, x=32) for full credit on the AP exam
• 5): Show you variables for (1 - 2^nd àVars: A: binomialcdf(n=80, p=0.3, x=31) for full credit on the AP exam
• 6): A nice review of the <5% for “being surprised” and link to the p-value being less than alpha = 0.05 which would Reject the Null Hypothesis statement of no difference

Example #2 Using p = 0.4 in a Geometric setting

• A nice reminder of how a geometric setting is one that looks for “until something happens”
• 7): a nice review of Binary Independent Trials until a success Same probability (BITS) for conditions for a GEOMETRIC RANDOM VARIABLE.
• 8): Nice explanation on why geometric settings have a skewed right distribution
• 9): Nice review  and explanation (on the formula sheet) of mean (M_x=1/p) and standard deviation (Sigma_x=Sqrt(q)/p) for a GEOMETRIC RANDOM VARIABLE
• 10): Make sure that you include the variables if you use 2^nd àVars: E: geometpdf(p=0.4, x=5) for full credit on the AP exam
• 11): Show you variables for 2^nd àVars: F: geometcdf(p=0.4, x=5) for full credit on the AP exam
• 12): A nice review of the not <5% for “not being surprised” and link to the p-value being greater than alpha = 0.05 which would Fail to Reject the Null Hypothesis statement of no difference

Try the check your understanding homework that he gives at the end for Wednesday’s lesson if you can.



Please email me any time with any question, comments, thoughts.



Take care!!



Sincerely,



Andrew Renaud

Mathematics

Dakota High School

586-723-2932