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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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
-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 Zz are independent
b) Find the value of the covariance of Z, and Z2 and explain your results in
comparison to the results in a).
Transcribed Image Text:1. Suppose that Z, and Z, are discrete random variables with joint probability distribution given in Table 1. Table 1: Joint probability distribution -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 Zz are independent b) Find the value of the covariance of Z, and Z2 and explain your results in comparison to the results in a).
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