Test Schedule

Reminder: Tests are closed-book. In each, you may refer only to a single letter-size page of notes (you may use both sides!).

• Test 1 grades:

     Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
    73.00   86.00   92.00   89.74   95.00  100.00
  
    The decimal point is 1 digit(s) to the right of the |
  
     7 | 33
     7 | 8
     8 | 023
     8 | 57788
     9 | 00222333
     9 | 5577
    10 | 0000
  

• Test 2 grades, as percentages:

     Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
    52.00   79.00   88.00   84.85   92.00  100.00
  
    The decimal point is 1 digit(s) to the right of the |
  
     5 | 2
     5 |
     6 | 2
     6 | 88
     7 |
     7 | 588
     8 | 02
     8 | 555888
     9 | 002222
     9 | 55588
    10 | 0
  

  Solution to Problem 2: you can either calculate the answers directly, or use the Pascal distribution. Direct calculations are: (a) the first 4 goblets must be flawless, P(4 flawless) = .9 ⁴; (b) P(>= 2 rejected) = 1 - P(0 or 1 rejected) = 1 - .9⁴ - P(1 rejected) = 1 - .9⁴ - 4 x .1 x .9⁴.
• Test 3 grades (see solutions), as percentages:

     Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
     42.0    90.0    92.0    90.3    96.5   100.0
  
    The decimal point is 1 digit(s) to the right of the |
  
     4 | 2
     4 |
     5 |
     5 |
     6 |
     6 |
     7 | 2
     7 |
     8 |
     8 | 5888
     9 | 00000222222
     9 | 555888888
    10 | 0