Trees in the Redian forest are classified as tall, medium or short, according to their height. The heights can be modelled by a normal distribution with mean $$\(40 \mathrm{~m}\)$$ and standard deviation $$\(12 \mathrm{~m}\)$$. Trees with a height of less than $$\(25 \mathrm{~m}\)$$ are classified as short. Of the trees that are classified as tall or medium, one third are tall and two thirds are medium. Show that the probability that a randomly chosen tree is classified as tall is $$\(0.298\)$$, correct to 3 decimal places. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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