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The continuous random variables ? and ? have the joint p.d.f. ??,? given by ?(?, ?) =...

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Basic Math

The continuous random variables ? and ? have the joint p.d.f.??,? given by

?(?, ?) = { ?^ (????) , ? > 0, ? > 0

0 otherwise

a) Find the conditional p.d.f. ??|?(?|?) of ? given ? = ?.[1]

b) Find ?(?|? = ?) and ???(?|? = ?). [1]

c) Find ?(?) and ???(?). [1]

d) Find ???(?, ?). [1]

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