Raisins are packaged into cardboard containers. The weight of raisins delivered into a container has a distribution with mean 200g (grams) and a standard deviation of 6g. The weight of an empty container has a distribution with mean 15g and a standard deviation of 0.5g. Assume the weight of the empty container and the weight of the raisins are independent.

Calculate..

a) the expected weight of a filled container of raisins.

b) the variance of a filled contained of raisins.

c) the standard deviation of a filled container of raisins.