High School

Fire load (MJ/m²) is the heat energy that could be released per square meter of floor area by combustion of contents and the structure itself. The following cumulative percentages are for fire loads in a sample of 388 rooms:

- Value: 0, 150, 300, 450, 600, 750, 900
- Cumulative %: 0, 19.1, 37.6, 62.1, 76.9, 86.7, 93.5
- Value: 1050, 1200, 1350, 1500, 1650, 1800, 1950
- Cumulative %: 95.5, 98.0, 98.3, 99.5, 99.6, 99.8, 100.0

What proportion of fire loads are less than 600? At least 1200? (Round your answers to three decimal places.)

- Less than 600: ____
- At least 1200: ____

Answer :

Final answer:

The proportion of fire loads less than 600 is 0.769 and the proportion of fire loads at least 1200 is 0.045.

Explanation:

The proportion of fire loads less than 600:

  1. Identify the cumulative percentage just below 600 which is 76.9%.
  2. The proportion is calculated by dividing the cumulative percentage by 100, so 76.9% is equal to 0.769.
  3. The proportion of fire loads less than 600 is 0.769.

The proportion of fire loads at least 1200:

  1. Identify the cumulative percentage just below 1200 which is 95.5%.
  2. The proportion is calculated by subtracting the cumulative percentage from 100. So, 100% - 95.5% = 4.5%.
  3. The proportion of fire loads at least 1200 is 0.045.

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