1. Suppose that Z, and Z, are discrete random variables with joint probability distribution given in Table 1. Table 1: Joint probability distribution Z1 -1 1 Z2 -1 0.0625 0.1875 0.0625 0.1875 0.1875...

1. Suppose that Z, and Z, are discrete random variables with joint probability<br>distribution given in Table 1.<br>Table 1: Joint probability distribution<br>Z1<br>-1<br>1<br>Z2<br>-1<br>0.0625<br>0.1875<br>0.0625<br>0.1875<br>0.1875<br>0.0625<br>0.1875<br>0.0625<br>a) By using an Example, show whether or not that Z, and Z, are independent<br>b) Find the value of the covariance of Z, and Z, and explain your results in<br>comparison to the results in a).<br>

Extracted text: 1. Suppose that Z, and Z, are discrete random variables with joint probability distribution given in Table 1. Table 1: Joint probability distribution Z1 -1 1 Z2 -1 0.0625 0.1875 0.0625 0.1875 0.1875 0.0625 0.1875 0.0625 a) By using an Example, show whether or not that Z, and Z, are independent b) Find the value of the covariance of Z, and Z, and explain your results in comparison to the results in a).

Jun 04, 2022

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1. Suppose that Z, and Z, are discrete random variables with joint probability distribution given in Table 1. Table 1: Joint probability distribution Z1 -1 1 Z2 -1 0.0625 0.1875 0.0625 0.1875 0.1875...

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