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EXAM P QUESTIONS OF THE WEEK
S. Broverman, 2006
Week of February 6/06
\
is a continuous random variable with the pdf
on the interval
, where
.
0 ÐBÑ œ B
Ð+ß ∞Ñ
+ !
\
%
]]
œ
is a random variable defined by
.
"
\
Find
.
IÐ\Ñ † IÐ] Ñ
The solution can be found below.
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View Full DocumentWeek of February 6/06  Solution
Since
, it follows that
.
] œ\
\œ]
œ5Ð]Ñ
"
"
The pdf of
can be found from the formula
]
.
0 ÐCÑ œ 0 Ð5ÐCÑÑ†l5ÐCÑl œ ÐC Ñ
†lC lœC
]\
w
"
%
#
#
Since
is defined on the interval
, the interval for
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