Question

need process thx

Part 1 of 4 - Written Answer #1 Suppose that X is a random variable from a binomial distribution with parameters n = 12 and p and consider the point estimate: p=8/14 (Enter your final answers only in the space provided and submit your work to obtain the answers on Gradescope.) Question 1 of 2 0.0 Points What is the bias of this point estimate?

Answer 1

Xw Bin (n=12,5). → E(X) = mp = 12p. F = (given) : point estimate Note that, ECF) E CES = E(X) = 12+ = $p. Now, it the bics of this point estirrede is =- E)-þ = $p-b-(-5) = -0,4286 þ Bias = -0.14286p) (Ane) @ Mean Square entor= E($+2 (MSE) 2 12 X - = E($- E(F) +E(F) –+)2 E (F-ECF)]+[E{8-p] = Var (6) + {Bias (3)} var(t) = var (4) - 12$(1-P) 0.735(1-0-735), where p= 0,735 (14)2 0-011925 Biaslf) --0.14286þ 5-0:14 286 X 0.735. -- 0-105 From (*), Mean Square error = 0-01192546-0-105) 0.02295. So, Mean Square error of this point estimate if the actual value of p is 0.735 is 0.02295 (tous)