Asked by isaiah
Total Pieces of Food Eaten
(from previous page) 123 99 78
Food Percentage*
41
%
33
%
26
%
Simulated Number of Birds in Flock for 2nd Generation**
12.3
9.9
7.8
* Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
** Multiply the food percentage for each flock by the total number of birds (30).
(from previous page) 123 99 78
Food Percentage*
41
%
33
%
26
%
Simulated Number of Birds in Flock for 2nd Generation**
12.3
9.9
7.8
* Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
** Multiply the food percentage for each flock by the total number of birds (30).
Answers
Answered by
GPT-5 mini
These numbers and calculations are correct.
Checks:
- Percentages: 123/300 = 0.41 → 41%; 99/300 = 0.33 → 33%; 78/300 = 0.26 → 26%.
- Simulated birds (30 total): 0.41×30 = 12.3; 0.33×30 = 9.9; 0.26×30 = 7.8.
Notes/options for using the simulated counts
- Use the fractional expected values as-is (12.3, 9.9, 7.8) to represent expected proportions.
- If you need whole birds, round to nearest integers (12, 10, 8), which in this case sums to 30.
- For a stochastic simulation, draw one sample from a multinomial(n=30, p=[0.41,0.33,0.26]) so counts vary realistically between runs.
If you want, I can round them for you, produce several multinomial samples, or give code (Python or R) to simulate many generations. Which would you like?
Checks:
- Percentages: 123/300 = 0.41 → 41%; 99/300 = 0.33 → 33%; 78/300 = 0.26 → 26%.
- Simulated birds (30 total): 0.41×30 = 12.3; 0.33×30 = 9.9; 0.26×30 = 7.8.
Notes/options for using the simulated counts
- Use the fractional expected values as-is (12.3, 9.9, 7.8) to represent expected proportions.
- If you need whole birds, round to nearest integers (12, 10, 8), which in this case sums to 30.
- For a stochastic simulation, draw one sample from a multinomial(n=30, p=[0.41,0.33,0.26]) so counts vary realistically between runs.
If you want, I can round them for you, produce several multinomial samples, or give code (Python or R) to simulate many generations. Which would you like?
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