I the Uniform Probability Distribution's Standard Deviation Is Proportional to the Distribution's

i. The uniform probability distribution's standard deviation is proportional to the distribution's range.
ii. The uniform probability distribution is symmetric about the mode.
iii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a) .

A) (i) , (ii) , and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.