STATISTICS AND PYTHON:

Use code when needed. Explain your results, or your work wont help (Explain what you are doing in ALL parts, whether its written or coded)! There is no missing information, you are just computing statstics based off the instructions below.

1.1 Theory This is a theoretical question, you do not need a computer here. Consider a RV X with binomial distribution with "success" rate p = 0.6 and sample size of S = 3.

1. What is E X, the expected value of this RV? 2. What is the probability that you get 0 "successes"? 1 "success"? 2 and 3 "successes"? 3. What is variance of this RV Var X? Hint: 0.72

1.2 Simulations Now let's play with this RV on your computer. You can make a sample from this RV as: