Probability and Statistics for the Engineering and Physical Sciences
STAT 22s:039

Spring 2008
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Probability and Statistics for the Engineering and Physical Sciences
STAT 22s:039

Spring 2015
, 2
‘f
EXAM 1 NAME:
PROB. AND STAT. FOR ENG. (STAT:2020; BOGNAR) SECTION: ‘
FEBRUARY 19, 2015
1. (10 pts) Suppose the discrete random variable X has probability mass function (pml')
= P(X : :L') r:
for (I : —1,(),1,2.
(a) (5 pts) Find the Cle of X,
Probability and Statistics for the Engineering and Physical Sciences
STAT 22s:039

Spring 2015
2 rA.l
PRoe. aNo Srnr. FoR ENG. (STAT:2020;
Apn,rr, 3, 2015
Ex.q.NI
l.
NamP:
SpcrtoN:
BocNan)
(20 pts) Suppose the continuous random variable
X
has pdf
( (e+])re o<r<1
P, \
/(r/:t
otherwise
0
where d
(")
)
0.
(7 pts) Find Var(X). Note that your enswer wil