g Quantifying Consistency 1 point possible (graded) Note: The problem statement has been changed to asking about convergence in probability instead of almost surely. Attempts will be reset. Let X1,…,Xn∼iidBer(p). Let X¯¯¯¯n be the estimator given by 1n∑i=1nXi. What is the smallest constant c such that nc(X¯¯¯¯n−p)=nc(1n∑i=1nXi−p) does not converge to 0 in probability as n→[infinity]?

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average