Let f(N) be the average number of full nodes in an N-node binary search tree. a. Determine the values of f(0) and f(1).

b. Show that for N > 1

f(N)=N−2 /N +1/ N (SUM N−1 i=0(f(i)+f(N−i−1)) start at i = 0 end at N-1 for the summation

c. Show (by induction) that f(N)=(N−2)/3 is a solution to the equation in part (b), with the initial conditions in part (a).

d. Use the results of Exercise 4.6 to determine the average number of leaves in an N-node binary search tree.

What best describes a career pathway in a lodging career? a worker starts out as an amusement attendant, then becomes a recreation worker, and then becomes a gaming worker within five years. a worker starts out as a bell hop, then becomes a night clerk, and then becomes a hotel manager within five years. a worker starting out as a tour guide, then becomes a travel clerk, and then becomes a travel agent within five years. a worker starts out as a server, then becomes a food preparer, and then becomes a head chef within five years.

How is the number 110 written when expanded out to place values in the base 2 (binary) number system? options: 2 x 4 + 3 x 2 + 4 x 1 1 x 2 + 1 x 2 + 0 x 2 1 x 100 + 1 x 10 + 0 x 1 1 x 4 + 1 x 2 + 0 x 1

You have a small company and want to keep your costs low, but it is important your employees share data. which network would provide you with the most economical solution?