A machine is set to fill packets of sugar with 200 g each. However, due to the inaccuracy of this type of the machine the actual weights in packets are normally distributed with mean of 201.5 g and a standard deviation of 4.8 g. A quality control was used by the factory to recycle any packet with less than 196 g of sugar. Calculate the following:
(a) The percentage of the number of packets that will be recycled.
(b) The number of packets which will be recycled if the factory produces 20,000 packets per day.
(c) If a packet is selected from those destined for recycling, evaluate the probability that it is less than 191 g.

(d) If the company wishes to reduce the percentage recycled to 5% by increasing the mean weight without affecting the standard deviation, calculate the mean weight should they set.