Question

Which of the following is true about the t-distribution?

A.They are uni-modal and symmetric.
B.Regardless of the degrees of freedom it has fatter tails than the normal model.
C.As the degrees of freedom increase, the t-curve looks more and more like the normal.
D.All of the above.

Answer 1

D) All options are True

Explanation:

A) t-distribution are symmetrical and uni-modal like Normal the Normal distribution.

B) Normal distribution is said to lack 'uncertainty'. Because of this, its more concentrated on values near the mean, while t-student distributions have more spread values and, as a result, fatter tails.

C) This is true as well, the higher the degrees of freedom, the less uncertainty the t-student has, and they will become as a result, more and more similar to the Normal distribution.

All options are True, so option D is the answer.