Based on the given mineral proportions, which one of the following statements is CORRECT?
Rock X: \(\text{Olivine : Orthopyroxene : Clinopyroxene :: 50 : 30 : 20}\)
Rock Y: \(\text{Plagioclase : Alkali feldspar : Quartz :: 25 : 45 : 30} \)
Rock Z: \(\text{Biotite : Plagioclase : Alkali feldspar : Quartz :: 20 : 25 : 35 : 20}\)
Y is more felsic compared to X & Z
X is more felsic compared to Y & Z
Z is more felsic compared to X & Y
Step 1: Recall mafic vs felsic classification. - Mafic rocks are rich in olivine, pyroxenes, amphiboles. - Felsic rocks are rich in quartz, alkali feldspar, plagioclase, and biotite.
Step 2: Analyze Rock X. Olivine + pyroxenes dominate (100% mafic minerals). \(\Rightarrow\) Rock X is ultramafic.
Step 3: Analyze Rock Y. Contains quartz (30%), alkali feldspar (45%), plagioclase (25%). \(\Rightarrow\) High quartz and feldspar content → typical granite-like (felsic).
Step 4: Analyze Rock Z. Contains biotite (20%), plagioclase (25%), alkali feldspar (35%), quartz (20%). \(\Rightarrow\) Intermediate composition (granitic but less quartz-rich than Y).
Step 5: Compare. - X → mafic. - Y → felsic (highest quartz + alkali feldspar). - Z → intermediate (felsic, but less than Y). Thus, Y is the most felsic among X, Y, Z.
Final Answer: \[ \boxed{\text{Y is more felsic compared to X \& Z}} \]


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The mean of the posterior distribution is (Answer in integer)
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