In a game, Jim throws three darts at a board. This is called a 'turn'. The centre of the board is called the bull's-eye. The random variable $$\(X\)$$ is the number of darts in a turn that hit the bull's-eye. The probability distribution of $$\(X\)$$ is given in the following table. It is given that $$\(\mathrm{E}(X)=0.55\)$$. Find the values of $$\(p\)$$ and $$\(q\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

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