Question 3 : Continuous Random continuous Vari'akle Let X a sanolom it kas Vari'able and suppadl probabuhty demaity qun itin of the form, f(x)= a (1- ) *- you 0s X < 10 other uuie Jnoner unte ger an d n > o wchere a 1]. Fnd he value the for so that fcx) a i in ya ct prob ability diruly fun otion . 2). dirtrihution Denve The on din g corrusp cum ul a tive ction, fun I (x). J. Fend the mathematical ex puesion you the D.25 quantile 4 3. 2hat so that CM)- 0.25.

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Question 3
Continuous
Ran olom
Continuous
Variable
Let X
a
sanodom
Varu'able
and suppose
it
probabuhty demaity qun ition
of the
yorm,
f(x)= a(I- )n-' you o s X s 10
other neiie
Yenouer unte ger an d n > o
mhere
a
1]. Fnd the Valu
for a
so that fcx)
prob ability dinuly
in
yact
fun etion .
Denve
the
dirtrihution
cerrisp on din g
cum ul a ture
fun ction
7 (x).
J.
Find the mathematical
ex pussion
quantile
4 X. 2hat
you the
0.25
yend
that
CM)- 0.25.
4]. Aeumng
that
5
cal cul ate
P Co.5 < X <
0:75 ).
< O O
Transcribed Image Text:Question 3 Continuous Ran olom Continuous Variable Let X a sanodom Varu'able and suppose it probabuhty demaity qun ition of the yorm, f(x)= a(I- )n-' you o s X s 10 other neiie Yenouer unte ger an d n > o mhere a 1]. Fnd the Valu for a so that fcx) prob ability dinuly in yact fun etion . Denve the dirtrihution cerrisp on din g cum ul a ture fun ction 7 (x). J. Find the mathematical ex pussion quantile 4 X. 2hat you the 0.25 yend that CM)- 0.25. 4]. Aeumng that 5 cal cul ate P Co.5 < X < 0:75 ). < O O
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