7. The weights, \(G\), of a particular breed of gorilla are normally distributed with mean 180 kg and standard deviation 15 kg .
- Find the proportion of these gorillas whose weights exceed 174 kg .
- Find, to 1 decimal place, the value of \(k\) such that \(\mathrm { P } ( k < G < 174 ) = 0.3196\)
The weights, \(B\), of a particular breed of buffalo are normally distributed with mean 216 kg and standard deviation 30 kg .
Given that \(\mathrm { P } ( G > w ) = \mathrm { P } ( B < w ) = p\)
- find the value of \(w\)
- find the value of \(p\) and standard deviation 15 kg .
- Find the proportion of these gorillas whose weights exceed 174 kg .
- Find, to 1 decimal place, the value of \(k\) such that \(\mathrm { P } ( k < G < 174 ) = 0.3196\)
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