The weight of a large loaf of bread is a normal variable with mean 420 g and standard deviation. 30 g. The weight of a small loaf of bread is a normal variable with mean 220 g and standard deviation 10 g.

(a) Find the probability that 5 large loaves weigh more than 10 small loaves.

(b) Find the probability that the total weight of 5 large loaves and 10 small loaves lies between 4.25 kg, and 4.4 kg. (C)