Let represent a standard normal random variable, and let () = Pr\Z Let A, B, C, and D refer to events involving where A {Z > 2}, = {2.5 > > 1.5}, C = {-1 > ), and D = {\Z\ 0.5}. Express the...

Let
Æ
represent a standard normal random variable, and let Ö(á) =
Pr\Z

Let
A, B, C,
and
D
refer to events involving
Æ
where
A — {Z
> —2},
 =

{2.5 >
Æ
> 1.5},
C =
{-1 >
Æ),
and
D = {\Z\
0.5}. Express the following

probabilities in terms of the function Ö(.). Note that Ö(—00)
= 0 and Ö(ïï) = 1.

(a)
Pr[AB]

(b) Ñö4õ

(a) (c)
Pt[BD]

(d)

Pr

[BC]

(e) P r [ i u D ]