3 [3+3+2 = 8 marks] (a) Bathroom tiles from a particular manufacturer have a mean weight of 350 g, with a SD of 17 g. If the weight of the tiles is normally distributed, what is the probability that a tile selected at random will weigh above 367 g? (b) The production manager of the tile factory has determined that tiles weighing above 377 g are too thick and those below 240 g are too thin. What proportion of the tiles produced fit within these specifications? Use the NORMDIST formula in Excel to answer this question. (c) If 45,000 tiles were produced in 2022, how many tiles were rejected in that year