The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On four of the days only one operating room was used, on five of the days two were used, on eight of the days three were used, and on three days all four of the hospital's operating rooms were used. (a) Use the relative frequency approach to construct an empirical discrete probability distribution for the number of operating rooms in use on any given day. X F (x ) 1 2 4 (b) Draw a graph of the probability distribution. f(x) f(x) f(x) 0.5 f(x) 0.5 0.5 0.4 0.5 0.4 0.4 0.3 0.4 0.3 0.3 0.2 0.3 0.2 0.2 0.1 0.2 0.1- 0.1 0.1 2 3 2 3 X 2 3 4 2 3 4 A (c) Show that your probability distribution satisfies the required conditions for a valid discrete probability distribution. We have that f(x) |? |0 for x = 1, 2, 3, 4 and > f(x) = so the probability distribution satisfies the required conditions for a valid discrete probability distribution