5. (a) The volume, L litres, of a tub of one brand of paint may be assumed to be normally distributed. 40% of the tubs contain less than 10.2 litres of paint and 98% of tubs contain more than 10 litres of emulsion paint. Find the mean and the standard deviation to 2 decimal places. [7] (b) The volume, P litres, of a tub of another brand of paint is normally distributed with a mean of 10.15 and a standard deviation of 0.1. A case contains 12 tubs of paint. Find, to 2 decimal places, the probability that fewer than 3 tubs contain less than 10 litres of paint.