In this question give three places of decimals in each answer.] The mass of tea in 'Supacuppa' teabags has a normal distribution with mean 4.1 g and standard deviation 0.12 g. The mass of tea in "Bumpacuppa teabags has a normal distribution with mean 5.2 g and standard deviation 0.15 g.

(a) Find the probability that a randomly chosen Supacuppa teabag contains more than 4.0 g of tea.

(b) Find the probability that, of 2 randomly chosen Supacuppa teabags, one contains more than 4.0 g of tea and one contains less than 4.0 g of tea.

(c) Find the probability that 5 randomly chosen Supacuppa teabags contain a total of more than 20.8 g of tea.

(d) Find the probability that the total mass of tea in 5 randomly chosen Supacuppa teabags is more than the total mass of tea in 4 randomly chosen Bumpacuppa teabags. (C)