2-) A random variable X has a density function f(x) = {kx8-16-ax² for x > 0 elsewhere where a > 0,B>0 = a ³r(1+¹) Express k interms of a and B and show that μ = a HINT: (a) = √°° ya-¹e-¹dy for a > 0

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2-) A random variable X has a density function
f(x) = { k
kxB-1e-axß
for x > 0
elsewhere
where a > 0,ß>0
a ³T (1 +
Express k interms of a and B and show that μ = a
SHANGOUR
-8
HINT: (a) = f ya-le-ydy for a > 0
1+¹)
Transcribed Image Text:2-) A random variable X has a density function f(x) = { k kxB-1e-axß for x > 0 elsewhere where a > 0,ß>0 a ³T (1 + Express k interms of a and B and show that μ = a SHANGOUR -8 HINT: (a) = f ya-le-ydy for a > 0 1+¹)
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