Question 12

1. Sentence Words and Their Lengths:

   • "The": 3 letters
   • "quick": 5 letters
   • "brown": 5 letters
   • "fox": 3 letters
   • "jumps": 5 letters
   • "over": 4 letters
   • "the": 3 letters
   • "lazy": 4 letters
   • "dog": 3 letters

2. Total Length:

   $$\text{Sum} = 3 + 5 + 5 + 3 + 5 + 4 + 3 + 4 + 3 = 35.$$

3. Expected Length:
   Since each of the 9 pieces of paper has an equal probability $\frac{1}{9}$ of being drawn:

   $$E[L] = \frac{35}{9} \approx 3.8888\dots \approx 3.9.$$

Rounding to one decimal place gives $3.9$ (official range: $[3.8, 3.9]$).