Sketch a normal curve: (a) with mean 15 and standard deviation 2. (b) with mean 15 and

Question:

Sketch a normal curve:
(a) with mean 15 and standard deviation 2.
(b) with mean 15 and standard deviation 3.
(c) with mean 12 and standard deviation 2.
(d) with mean 12 and standard deviation 3.
(e) Consider two normal curves. If the first one has a larger mean than the second one, must it have a larger standard deviation as well? Explain your answer.