A study investigating maternal investment in a frog species found on the Tibetan Plateau reported data on

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A study investigating maternal investment in a frog species found on the Tibetan Plateau reported data on the volume of egg clutches measured across 11 study sites. The distribution is roughly normal, with approximate distribution \(N(882.5,380) \mathrm{mm}^{3}\).

(a) What is the probability of observing an egg clutch between volume \(700-800 \mathrm{~mm}^{3}\) ?

(b) How large are the largest \(5 \%\) of egg clutches?

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