4.50 For a laboratory assignment, if the equipment is working, the density function of the observed outcome X is f(z): [2(1 – 2), 0

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4.50 For a laboratory assignment, if the equipment is
working, the density function of the observed outeome
X is
S(z) =
S2(1 – 2), 0<r< 1,
ot herwise.
Find the variance and standard deviation of X.
4.52 Random variables X and Y follow a joint distri-
bution
S(1, y) = {0,
S2. 0<rSy<1,
ot herwise.
Determine the correlation coefficient between X and
Y.
Transcribed Image Text:ng 4.50 For a laboratory assignment, if the equipment is working, the density function of the observed outeome X is S(z) = S2(1 – 2), 0<r< 1, ot herwise. Find the variance and standard deviation of X. 4.52 Random variables X and Y follow a joint distri- bution S(1, y) = {0, S2. 0<rSy<1, ot herwise. Determine the correlation coefficient between X and Y.
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