Suppose N1 is a discrete random variable equally likely to take on any integer in the set
the random variable N2 is equally likely to take on any integer in the set
, the random variable N3 is equally likely to take on any integer in the set ![](https://test.transtutors.com/qimg/46853fb9-8080-4a68-8306-da6b6c399feb.png)
(a) Find the two-dimensional joint PMF ![](https://test.transtutors.com/qimg/a0e5f1b9-d0af-464d-8853-88f8071e2897.png)
(b) Find the three-dimensional joint PDF ![](https://test.transtutors.com/qimg/6944e025-2adc-420e-b1bc-60455281581f.png)
(c) Find the marginal PDF ![](https://test.transtutors.com/qimg/b9c921c0-ee1a-4a22-837d-d299f69d8092.png)
(d) What are the chances that none of the three random variables are equal to 1?