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Batareau et al. (2011) compared four nonlinear growth functions in modelling body length and mass size-at-age...

Batareau et al. (2011) compared four nonlinear growth functions in modelling body length and mass size-at-age data for the grizzly bear (Ursus arctos) in the Northwest Territories and Nunavut. The mature adult body mass for a male bear based on data from 119 bears was estimated to have a mean of 209 kg with a standard deviation of 57 kg based on the von Bertalanffy growth model. Treat these statistics as if they were population parameters for a normal distribution. (Sec. 5.2) Batareau TM, Cluff HD, Larter NC (2011). Body length and mass growth of the brown bear (Ursus arctos) in northern Canada: model selection based on information theory and ontogeny of sexual size dimorphism. Canadian Zoological Journal, 89: 1128-1135.

Find the probability that a mature male grizzly bear would have a body mass more than 200 kg.

Find the body mass m of mature male grizzly bears such that 35% of body mass falls below m for this population in northern Canada.

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