# Joint probability density function

(See attached file for full problem description with equations)

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53. Given that the joint pdf of the random variables X and Y is defined by

(i) Find the number k.

(ii) Find the marginal pdf's fX and fY. Are X and Y independent?

(iii) Calculate the probabilities:

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https://brainmass.com/statistics/probability-density-function/joint-probability-density-function-55526

#### Solution Preview

Please see the attached file.

53. Given that the joint pdf of the random variables X and Y is defined by

(i) Find the number k.

Use a property the joint PDF has, that is

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#### Solution Summary

This showsh ow to work with a given joint probability density function.

$2.19