robability density of X is given by { f(x) = NIX 2 for 0 < x < 2 0 Un has elsewhere probability density of Y = X³. Also, plot the graphs of the proba- ensities of X and Y and indicate the respective areas under the hat represent P(< X < 1) and P(

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7.24 If the probability density of X is given by
-{
f(x) =
NIX
2
0
for 0 < x < 2
elsewhere
Un has
find the probability density of Y = X³. Also, plot the graphs of the proba-
bility densities of X and Y and indicate the respective areas under the
curves that represent P < X < 1) and P( < Ý < 1).
Transcribed Image Text:7.24 If the probability density of X is given by -{ f(x) = NIX 2 0 for 0 < x < 2 elsewhere Un has find the probability density of Y = X³. Also, plot the graphs of the proba- bility densities of X and Y and indicate the respective areas under the curves that represent P < X < 1) and P( < Ý < 1).
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