1. (In this question give 3 places of decimals in each answer.) The mass of tea in "Supacuppa" teabags has a normal distribution with mean 4.1g and standard deviation 0.12g. The mass of tea in "Bumpacuppa" teabags has normal distribution with mean 5.2g and standard deviation 0.15g. (a) Find the probability that a randomly chosen Supacuppa teabag contains more than 4.0g of tea. [2pts] (b) Find the probability that, of two randomly chosen Supacuppa teabags, one contains more than 4.0g of tea and one contains less than 4.0g of tea. [2pts] (c) Find the probability that five randomly chosen Supacuppa teabags contain a total of more than 20.8g of tea. [5pts] (d) Find the probability that the total mass of tea in five randomly chosen Supacuppa teabags is more than the total mass of tea in four randomly chosen Bumpacuppa teabags. [5 pts].