42. The following data were collected by counting the number of operating rooms

Question

42.

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 six 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.

Round your answers to two decimal places.

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.

b. Select a graph of the probability distribution.

Choose the correct graph from the above Graphs:
Select1234Item 6

c. Show that your probability distribution satisfies the required conditions for a valid discrete probability distribution.

Because f(x) Select><Item 7 0 for x = 1, 2, 3, 4 and sum f(1) + f(2) + f(3) + f(4) = 1.

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 six 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.

Round your answers to two decimal places.

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 3 4 Total

b. Select a graph of the probability distribution.

1. 2. 3. 4.

Choose the correct graph from the above Graphs:
Select1234Item 6

c. Show that your probability distribution satisfies the required conditions for a valid discrete probability distribution.

Because f(x) Select><Item 7 0 for x = 1, 2, 3, 4 and sum f(1) + f(2) + f(3) + f(4) = 1.

Explanation / Answer

(a) empirical discrete probability distribution:

(b) The correct graph is Option 3.

(c) f(1) + f(2) + f(3) + f(4) = 0.15 + 0.3 + 0.4 + 0.15 = 1.
Hence, the probability distribution satisfies the condition for a valid discrete probability distribution.

x Freq f(x) = Freq/20 1 3 0.15 2 6 0.3 3 8 0.4 4 3 0.15 Total -> 1

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