5. Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens and 3 green pens. If X is the number of the blue pens and Y is the number of the red pens selected, find the joint pdf f (x, y)

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5. Two ballpoint pens are selected at random from a box that
contains 3 blue pens, 2 red pens and 3 green pens. If X is the number of the blue
pens and Y is the number of the red pens selected, find the joint pdf f(x, y)
Transcribed Image Text:5. Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens and 3 green pens. If X is the number of the blue pens and Y is the number of the red pens selected, find the joint pdf f(x, y)
Expert Solution
Step 1 : Introduction

Joint probability mass function :

The joint probability mass function is a function that fully characterizes a discrete random vector's distribution.
It indicates the probability that the random vector's realization will be identical to that point when evaluated at a particular position.

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