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Just seeking clarity on my thoughts to this question below:


Question: 'If the mean SGR

in the tank is 0.84, what distribution best describes the number of salmon in a batch of 100 that achieve the minimal acceptable growth rate?'

Answer: When the mean of SGR in the tank is equal to 0.84, the poisson distribution converted into a normal approximation would be the best representation.


'Question: Is it valid to approximate the distribution above with a normal distribution? If so what normal distribution would you use?'


Answer: Yes


Attached is the probabilities, statistics and questions relating to my question.Probability.png

Probability.png

Mean SGR for tank
0.80
0.84
0.88
0.92
P(Y>0.75)
0.8212
0.9514
0.9918
0.9991
C) If the mean SGR in the tank is 0.84, what distribution best describes the number of salmon in a
batch of 100 that achieve the minimal acceptable growth rate?
D) Is it valid to approximate the distribution above with a normal distribution? If so what normal
distribution would you use?

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