Question: Suppose (,) is a two-dimensional random variable uniformly distributed in the rectangle {5000 10000, 4000 9000 }. a) Find the joint probability density function of

Suppose (,) is a two-dimensional random variable uniformly distributed in the rectangle {5000 10000, 4000 9000 }.

a) Find the joint probability density function of (,)

b) Calculate (), where ={}

c) Are and independent? Justify your answer.

d) Calculate the correlation coefficient between and and explain its meaning.

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