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Suppose that Y1, Y2,.Y40 denote a random sample of measurement on the proportion of impurities in iron ore samples.

Suppose that Y1, Y2,….Y40 denote a random sample of measurement on the proportion of impurities in iron ore samples. Let each variable Yi have a probability density function given by
F(y) = { 3y², 0≤y≤1,
{0, elsewhere.
The ore is to be rejected by the potential buyer if Y exceed 0.7. Find P(Y>0.7) for the sample of size 40.

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