Each of the nine words in the sentence "The quick brown fox jumps over the lazy dog" is written on a separate piece of p...

Question

Each of the nine words in the sentence "The quick brown fox jumps over the lazy dog" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is ___________. (Round off to one decimal place.)

Accepted Answer

3.9 The sentence 'The quick brown fox jumps over the lazy dog' contains exactly 9 words. Each word has a specific length (number of letters). When one word is drawn uniformly at random, the expected length is the arithmetic mean of all 9 word lengths. We count the letters in each word and compute the average.