Squash balls, dropped onto a concrete floor from a given point, rebound to heights which can be

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Squash balls, dropped onto a concrete floor from a given point, rebound to heights which can be modelled by a normal distribution with mean 0.8 m and standard deviation 0.2 m. The balls are classified by height of rebound, in order of decreasing height, into these categories: Fast, Medium, Slow, Super-Slow and Rejected.

(a) Balls which rebound to heights between 0.65 m and 0.9 m are classified as Slow. Calculate the percentage of balls classified as Slow.

(b) Given that 9% of balls are classified as Rejected, calculate the maximum height of rebound of these balls.

(c) The percentage of balls classified as Fast and as Medium are equal. Calculate the minimum height of rebound of a ball classified as Fast, giving your answer correct to two decimal places."

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