2. [-/4.54 Points] DETAILS ASWSBE14 5.E.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following data were collected by counting the number of operating rooms in use at Tampa General Hospital over a 20-day period: On three 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 four 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 (b) Draw a graph of the probability distribution. f(x) f(x) f(x) 0.5 f(x) 0.5 0.5 0.5 0.4 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 X 2 3 4 2 3 4 2 X 3 4 1 2 3 4 (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. Need Help? Read It Watch It6 Chrome File Edit View History Bookmarks Profiles Tab Window Help a . Q o C) Q 8 6 Fri Sep 30 2:26 PM . 43 . l' McGraw Hill Connect X l 6 Question 10 CH 6 Homework X W' Chapter 5 Assignment (22F: X H Homework Help - Q&A from O X l + V (- C' i webassign.net/web/Student/AssignmentResponses/submit?dep=29694960&tags=autosave#question426529'|_0 Q [Ii 15! 3 I] o 3 A technician services mailing machines at companies in the Phoenix area, Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at the same frequency. (a) Develop a probability distribution for the duration of a service call. x ((x) iiii (b) Draw a graph of the probability distribution, x) x) fix) fix) 1.0 1.0 1.0 1.0 0.9 0.9 0.9 0.9 0.8 03 0.8 0.8 O 7 0 7 0 7 0 7 0.6 0.5 0.5 0.6 0.5 05 0.5 0.5 0.4 DA 0A 0.4 0.3 0.3 0.3 0.3 0.2 0.2 0.2 0.2 0.1 0.1 I 01 0.1 I I x I x x x 1 2 3 4 l 1 2 3 4 1 2 3 4 1 Z 3 4 O Q 0 (D O (D (3 (c) Show that your probability distribution satises the conditions required for a discrete probability function. We have that for x : 1, 2, 3, 4 and 2m) = E so the probability distribution satises the required conditions for a valid discrete probability distribution. (d) What is the probability a service call will take three hours? I saved Friday September 30 2022 at 2 6 PM