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 four of the days two were used, on eight of the days three were used, and on five 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. f(x) 1 2 3 4 (b) Draw a graph of the probability distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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(b) Draw a graph of the probability distribution.
fxX)
f(x)
f(x)
0.5
0.5
0.5
0.4
0.4
0.4
0.3
0.3
0.3F
0.2
0.2
0.2
0.1
0.1
0.1
1
2
3
4
1
2
3
4
1
2
3
4
f(x)
0.5
0.4
0.3
0.2
0.1
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 0 for x
1, 2, 3, 4 and f(x) =
so the probability distribution satisfies the required conditions for a valid discrete probability distribution.
Transcribed Image Text:(b) Draw a graph of the probability distribution. fxX) f(x) f(x) 0.5 0.5 0.5 0.4 0.4 0.4 0.3 0.3 0.3F 0.2 0.2 0.2 0.1 0.1 0.1 1 2 3 4 1 2 3 4 1 2 3 4 f(x) 0.5 0.4 0.3 0.2 0.1 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 0 for x 1, 2, 3, 4 and f(x) = so the probability distribution satisfies the required conditions for a valid discrete probability distribution.
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 four
of the days two were used, on eight of the days three were used, and on five 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.
Transcribed Image Text: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 four of the days two were used, on eight of the days three were used, and on five 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.
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