i. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values. ii. For a uniform probability distribution, the probability of any event is equal to 1/(b-a).
iii. The uniform probability distribution is symmetric about the mode.
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.

Question

Quizplus · Accepted Answer

Statement (i) is true for a uniform distribution, as the probability is constant between the minimum and maximum values. Statement (ii) is not true, as the probability of any event is actually equal to 1/(b-a) only if the event is between the minimum and maximum values. For events outside of this range, the probability is zero. Statement (iii) is also false, as the uniform distribution is not necessarily symmetric about the mode, as it may not have a single mode.

I in a Uniform Probability Distribution, P(x) Is Constant Between