The number of particles per millilitre in a solution is modelled by a Poisson distribution with mean 0.15 A randomly selected 50 millilitre sample of the solution is taken. (a) Find the probability that (i) exactly 10 particles are found, (ii) between 6 and 11 particles (inclusive) are found. (4) Petra takes 12 independent samples of $$\(m\)$$ millilitres of the solution. The probability that at least 2 of these samples contain no particles is 0.1184 (b) Using the Statistical Tables provided, find the value of $$\(m\)$$ (6)

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