The lexeme of a word form. The percentage of nouns in a text. Solution Consider the experiment of throwing two dice and consider the stochastic variable X which maps the outcome to the sum of the two dice. Give the frequency function f X . Give the distribution function F X .
Solution Consider the experiment of randomly choosing a pair of two adjacent words from a text.
Solution Show that the two variables in Exercise 4 are not independent. Compute the frequency function f Y of the variable Y , the expectation value of Y , the variance of Y .