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The length, X centimetres, of eels in a river may be assumed to be normally distributed with mean 48 and standard deviation 8. An angler catches an eel from the river. Determine the probability that the length of the eel is: (a) exactly 60 cm; (1 mark) (b) less than 60 cm; (2 marks) (c) within 5% of the mean length. (5 marks)(a) The time, X minutes, taken by Fred Fast to install a satellite dish maybe assumed to be a normal random variable with mean 134 and standard deviation [6. (i) Determine P(X 200) = 0.03. Determine, to the nearest minute. values for the mean and standard deviation of Y. (6 marks) The volume, 1. litres, of emulsion paint in a plastic tub may be assumed to be normally I distnlauted with mean l0.25 and variance oz. | I (a) Assuming that o2 = 0.04, determine PU.