The joint pdf of a two continuous random variables is given as follows: ??,? (?, ?)...

The joint pdf of a two continuous random variables is given as follows: ??,? (?, ?) = { ??? 0 < ? < 2, 0 < ? < 1 0 ??ℎ?????? 1) Find c. 2) Find the marginal PDFs of ? and ?. Make sure to write the ranges. Are these random variables independent? 3) Find ?(0 < ? < 1|0 < ? < 1) 4) What is ??|? (?|?). Make sure to write the range of ?.

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Expert Solution

1) for a function to be p.d.f; double integral over the ranges should be unity. we use this approach to find c.

other questions are solved using their respective formulaes.

orchestra answered 1 year ago

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