(2 points) Suppose Y is a standard normal distribution. Let X =1 -2Y. What is E[X]? O 1 O 2 0 4 0 3(2 points) Suppose you are studying the determinants of trade school graduates' incomes. Which of the following might be a reason you cannot estimate regression slopes that are appmpriate for causal inference? Suppose the sample contains 100 people. A. Some of the people in the sample have zero earnings. B. The sample includes only people that attended an alumni event. C. Some people got dilferent jobs unrelated to their education. D. Some peeple have children. > OB 0C 0D 0A (2 points) Let Y be a discrete random variable with five outcomes. Pr(Y = 1) = 0.20 Pr(Y = 2) = 0.60 Pr(Y = 3) = 0.05 Pr(Y = 4) = 0.05 Pr(Y = 5) = 0.10 What is the probability Y is less than or equal to 4? O 0.9 O 0.8 O 0.4 O 0.2Question 11 2 pts (2 points) Let Y be a normally distributed random variable. The sample mean for Y is 3. The sample standard deviation for Y is 6. The sample includes 256 observations. What is the 95% condence interval or the mean of Y? > O [2.00, 3.00] O [2.27, 3.74] O [2.50, 3.50] O [2.95, 3.04]