Question 1 2 pts Say you have a sample of size of n many independent observations X1, X2, . . . ,Xn from some unknown distribution with mean/expectation equal to p, and variance equal to 0'2. _ '11. Which of the following is true about the expectation of the sample mean X = % 2 X3- i=1 7 Pick only one choice. 0 It is equal to 0. Q It is equal to 1. n Q It is equal to the expectation of any of the random variables divided by n, H Q It is equal to the expectation of any of the random variables, u. Question 2 2 pts Say you have a sample of size of n many independent observations X1, X2, . . . , Xn from some unknown distribution with mean/expectation equal to p and variance equal to 0'2. Ti. Which of the following is true about the variance of the sample mean X = i 2 X3- ? i=1 Pick only one choice. 0 It decreases as the sample size n increases. 0 It does not change as the sample size n increases. 0 It increases as the sample size n increases