15 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of 15 the () pairs of people are, independently, friends with probability 0.6, find the expected number of occupied tables. (Hint: One possible approach is to define, for example, X, to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: