The Joint Density Function for a Pair of Random Variables

question 51

Short Answer

The joint density function for a pair of random variables X and Y is $f ( x , y ) = \left\{ \begin{array} { l l } C \frac { x } { y } & \text { if } 0 \leq x \leq 1 \text { and } 1 \leq y \leq 2 \\0 & \text { otherwise }\end{array} \right.$ . Find the value of C.

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Definitions:

Mucous Glands

Exocrine glands found in various locations of the body that secrete mucus, aiding in lubrication and protection of tissues.

Mucous Membrane

The moist lining that covers internal surfaces of the body, including the digestive, respiratory, and genitourinary tracts, secreting mucus.

Synovial Membrane

This unique connective tissue is found lining the interior surfaces of synovial joint capsules and the sheaths of tendons, generating synovial fluid to lubricate the area.

Serous Membrane

A smooth tissue membrane that lines certain internal cavities of the body, secreting a lubricating fluid to reduce friction.