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The diameter X of cultured pearls from a specific farm is normally distributed with mean 50mm and variance σ2.
It is known that P(X<48.8)=0.1056.
Find P(48.8<x<50).
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Determine the standard deviation σ.
Hence find P(X>51.5)
Twelve pearls are selected at random. Let Y be the number whose diameters exceed 51.5mm.
Find E(Y).
Find P(Y=2).
A pearl is known to have diameter ≤51.5mm.
Determine the probability that its diameter lies between 48.8mm and 50mm.
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