#8) Consider the following information about random variables X, Y, A, and B: µx=4 Ox= 6 µy= 8 Oy= 10 A = 0.4X + 0.6Y B = 0.8X – 0.2Y a) Suppose that pxy = 0.2. What is µa? b) Suppose that pxy = 0.1. What is o? c) Suppose that pxy = 0.5. What is ơĄ?
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- Question 1 For the population of ECO242 students in 2022, the table below gives the proportions (joint distribution) of students who did (or did not) attend all tutorials (Y) and students who passed (or failed) the course. A. Given that B. Outcome (X) 5 tuts 0.51 0.05 Pass Fail f(x = Pass, y = 5 tuts) = 0.51 What is the product of f(x = pass) and f(y = 5 tuts)? C. Tut Attendance (Y) <5 tuts 0.27 0.17 Click to see additional instructions The probability that a student passes the course given that they've attended 5 tuts is? Are X and Y independent? A. Yes B. No OC. There is insufficient information to make a determination.2. Consider the following information about random variables X, Y, A, and B: Hx = 30 Ox = 10 Hy = 40 Oy = 20 A = 0.6X + 0.4Y B = 0.8X – 0.2Y Suppose that pxy = 0.5. What is og? Round your final answer to four decimal places if necessary.Suppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)? Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)? Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?
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- 2. You are interested in the effect of a factory being inspected on whether it reduces its pollution output. There's a variable "number of reported violations" that you have. When the number of reported violations goes from 9 to 10, the probability of being inspected jumps from 20% to 60%. Average pollution levels decrease from 600k Imetric tons of CO2 to 500k metric tons going from 9 to 10 violations as well. What is the fuzzy regression discontinuity estimate of the effect of inspections on air pollution levels?question attachedNew answer needed
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