1. Draw clear graphs of the following, each letter below should be a single separate graph with proper labels where required (everything from each prompt should be clearly visible in each graph):

a. Two normal distributions, both with mean 10, one with standard deviation k and the other with standard deviation 3k (both distributions should appear on the same graph).

b. Three normal distributions, all with standard deviation , one with mean 0, one with mean 10, one with mean 30 (all three distributions should appear on the same graph).

c. A standard normal distribution where the area that represents the probability of our variable being between 1 and 2 ((12)) is shaded. d. A standard normal distribution where the area that represents the probability of our variable being greater than 3 ((3)) is shaded.