Assume that X is uniformly distributed on the set S = {- 3, -2, -1,0,1,2,3}, that is, X assumes each of the seven values ​​with the same probability 1/7. Consider the variable Y = x ^ 2 (a) determine the probability of the event {Y> 0} (b) Determine PMF py (y) for Y

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Assume that X is uniformly distributed on the set S = {- 3, -2, -1,0,1,2,3}, that is, X assumes each of the seven values ​​with the same probability 1/7. Consider the variable Y = x ^ 2
(a) determine the probability of the event {Y> 0}
(b) Determine PMF py (y) for Y
Expert Solution
Step 1

Firstly list down the possible elements of y variable where 

Statistics homework question answer, step 1, image 1

The set Y is obtained as:

Statistics homework question answer, step 1, image 2

Hence the probability that the event Y>0 is given by:

Statistics homework question answer, step 1, image 3

 

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