4. Define a discrete random variable by the probability mass function Pr(X = k) = A(0.99)k...

 

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4. Define a discrete random variable by the probability mass function Pr(X = k) = A(0.99)k² for some constant A, and k ≥ 0. Do the following in a Jupyter note- book. You should include either text blocks or code comments describ- ing what you are doing and clearly stating answers to the questions. (a) Use Python code to find an approximation of the constant A required to make this into a valid probability distribution. This amounts to finding the value of an infinite series, make sure your answer is accurate to at least 4 decimal places. (b) Calculate E[X] and Var(X) for this distribution. (c) Produce a bar plot of the probability mass function over a rea- sonable domain. 4. Define a discrete random variable by the probability mass function Pr(X = k) = A(0.99)k² for some constant A, and k ≥ 0. Do the following in a Jupyter note- book. You should include either text blocks or code comments describ- ing what you are doing and clearly stating answers to the questions. (a) Use Python code to find an approximation of the constant A required to make this into a valid probability distribution. This amounts to finding the value of an infinite series, make sure your answer is accurate to at least 4 decimal places. (b) Calculate E[X] and Var(X) for this distribution. (c) Produce a bar plot of the probability mass function over a rea- sonable domain.

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THE PYTHON CODE FOR ANSWERa A 10992 0994 0996 119801 0505... View the full answer