A mixture consists of two particles A and B, where the mean proportion by mass of particle A is known to be 0.55 . Particle A is spherical and has a density of 950kg/m3, while particle B is cubical and has a density of 450kg/m3. The standard deviation of the compositions of 1g sample tends to a constant value of \pm 0.009 . The cumulative undersize mass distributions of the two particles are shown in Table 1. Table 1: Size distributions of particles A and B a) Determine whether the mixing is satisfactory if the criterion is a random mixture. [12 marks] b) Would the mixing still be satisfactory if the criterion is an in-house specification that the composition of 95% of the samples should be within 3% of the mean of particle B? [6 marks] c) Suppose that you are given the original side length of the cube (instead of the volume equivalent sphere diameter) in Table 1, do you expect your results in part (a) and part (b) to be different (without converting the side length to volume equivalent diameter)? Briefly explain your answer without any calculation. [4 marks ] d) Do you expect the quality of the mixing to be better if particle B is spherical with a diameter that is the same as the cube side length of particle B? Briefly explain your answer without any calculation. [3 marks]