Now, in each of the following questions, argue that both proposed estimators are consistent and asymptotically normal. Then, give their asymptotic variances and decide if one of them is always bigger than the other. As above, argue that both proposed estimators p, P, and are consistent and asymptotically normal. Then, give their asymptotic variances V (p) and V (P) and decide if one of them is always bigger than the other. Let Xi,... . Xn Geom (p), for some p E (0,1). That means that P(xi k)p-p for k12, Let and p be the number of ones in the sample divided by n
A) Việ) > V (p) for all p .
B) V ()< V (P) for all p
C) V()-V (p) for all p
D) There exists P1 such that V()) > V(p) and P, such that Vウ< V(F)

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.

Which of the following vectors are orthogonal to (2,1)? check all that apply