A company produces bricks. The weight of a brick, $$\(B \mathrm{~kg}\)$$, is such that $$\(B \sim \mathrm{N}\left(1.96, \sqrt{0.003}^{2}\right)\)$$ Two bricks are chosen at random. Find the minimum sample size such that the probability of the sample mean being greater than 2 is less than $$\(1 \%\)$$ (5) The bricks are randomly selected and stacked on pallets. The weight of an empty pallet, $$\(E \mathrm{~kg}\)$$, is such that $$\(E \sim \mathrm{N}\left(21.8, \sqrt{0.6}^{2}\right)\)$$ The random variable $$\(M\)$$ represents the total weight of a pallet stacked with 500 bricks. The random variable $$\(T\)$$ represents the total weight of a container of cement. Given that $$\(T\)$$ is independent of $$\(M\)$$ and that $$\(T \sim \mathrm{N}\left(774, \sqrt{1.8}^{2}\right)\)$$

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