Question

4. In each of the following five cases (a)-(e), say if the given function will be the ChF of some distribution. Explain/justify your answers. In case of a positive answer, specify the respective distribution (somehow). sin(t2)1 (o)+(b)co t: () sinf (d) sin(C2I, (0)1 b) cos3 t; (c) sint; (d t2 + cos(t) Hints: Never ever forget Euler's formula eit -costisint, t e R. Know how to use it! In some cases, you may wish to use a result from slide 161. Or whatever.

Answer 1

2 Lu. uL it it it sit

it -it 2 t 2 2- 1 2 t

2 TH ette 午 2