Use the equation to find the length of the missing leg measure. a squared + 16 squared = 20 squared 1. Evaluate powers: a square
2 answers:
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a.
is a proper joint density function if, over its support, is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require
b. Find the marginal joint density of and
by integrating the joint density with respect to
:
Then
c. This probability can be found by simply integrating the joint density: