The weights, $$\(x \mathrm{~kg}\)$$, of each of 10 watermelons selected at random from Priya's shop were recorded. The results are summarised as follows $$\[ \sum x=114.2 \quad \sum x^{2}=1310.464 \]$$ Calculate unbiased estimates of the mean and the variance of the weights of the watermelons in Priya's shop. (3) Priya researches the weight of watermelons, for the variety she has in her shop, and discovers that the weights of these watermelons are normally distributed with a standard deviation of $$\(0.8 \mathrm{~kg}\)$$

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