Answer
a) Yes.
b)Yes.
c)No.
Work Step by Step
a) The heights are normally distributed, therefore they are bell shaped. By adding a constant to each value, the bell shape remains, therefore the answer is yes.
b)The heights are normally distributed, therefore they are bell shaped. By multiplying each value by the same constant, the bell shape remains, therefore the answer is yes.
c)Logarithm is not linear, therefore it changes the shape, therefore the answer is no.