The length of blades of grass mown from a lawn are modelled by a uniform distribution between

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The length of blades of grass mown from a lawn are modelled by a uniform distribution between 1 cm and 5 cm.

(a) Find the standard deviation of this distribution.

(b) Find the percentage of blades of grass whose lengths lie within one standard deviation of the mean length.

(c) A better model may be a triangular distribution as shown.

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