4)
If k∈{1,2,…,n−1}, then
E[] = 0
5)
If k ≥ 1, ℓ ≥ 2, and k+ℓ ≤ n, then
E[] =
6)
Using the results above, calculate the numerical value of var(R)
assuming that p=3/4, n=10.
Var(R) = E[R}^2 - E[R^2] = 57/64 = 0.8906
If you have any doubts please ask me in the comment box. Thank you.
need answer for q4,5,6. MEe ORS O e GaR RRKR O 360 nvestme nctions I Additional theo a Course 14.310x I edX x et 6....
Problem 5. Indicator variables S points possible (graded) Consider a sequence of n 1 independent tosses of a biased coin, at times k = 0,1,2,...,n On each toss, the probability of Heads is p, and the probability of Tails is 1 -p {1,2,.., at time for E resulted in Tails and the toss at time - 1 resulted in A reward of one unit is given if the toss at time Heads. Otherwise, no reward is given at time Let...
I have lost so many questions with incorrect answers. Please answer these. I will be grateful! 7. Inside an urn are N marbles mumbered from 1 to N where N e Z ad N 1. Pick one marble from the urn and let the number on the marble be X. Determine X's pmf. What is E(X)? 8. An urn contains three white balls and two red balls. The balls are drawn from the urn, one at a time without replacement,...
For observations {Y, X;}=1, recall that for the model Y = 0 + Box: +e the OLS estimator for {00, Bo}, the minimizer of E. (Y: - a - 3x), is . (X.-X) (Y-Y) and a-Y-3X. - (Xi - x) When the equation (1) is the true data generating process, {X}- are non-stochastic, and {e} are random variables with B (ei) = 0, B(?) = 0, and Ele;e;) = 0 for any i, j = 1,2,...,n and i j, we...
Please do this in Matlab. Not sure if you need this code: e cofunction [x, er, n] = FixedPoint(g, x1, maxtol, maxitr) if nargin < 4, maxitr = 25; end if nargin < 3, maxtol = 1e-3; end k = 0 ; er = 1; x = x1; while er >= maxtol && k < maxitr k=k+1; xold = x; x=g(x); er=abs((x-xold)/x); fprintf('iter = %i, x = %e, er = %e ', k,x,er); end n=k; if n ==...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
I want all parts answers, and the answer needs to correct. the answers need include from part a) to part n) h.) E(X) (Give decimal answer to two places past the decimal.) Tries 0/5 1.) E(Y) (Give decimal answer to two places past the decimal.) ries 0/5 j.) E(XY) (Give decimal answer to two places past the decimal.) Tries 0/5 k.) Cov(X,Y) (Give decimal answer to THREE places past the decimal.) Tries 0/5 1.) Standard deviation of X (Give decimal...
Please answer this in specific way,thanks. 1. A Markov chain X = (X2) >0 with state space I = {A, B, C} has a one-step transition matrix P given by 70 2/3 1/3) P= 1/3 0 2/3 (1/6 1/3 1/2) (a) Find the eigenvalues 11, 12, 13 of P. (b) Deduce pn can be written as pn = 10 + XU, + Aug (n > 0) and determine the matrices U1, U2, U3 by using the equations n = 0,1,2....
arccoth Cz)- 1/2 ln (z+1)/(z-1)) Screenshot 2019-01-17 at 20.14.00 CSC (x) 6 Consider taking a simple random sample (SRS) of size 2 from the population and assume further that E(r2)Xwhere Xis the population mean. (0) Show that the estimato is an unbiased estimator of X XN with population variance S2. Suppose that r1 and r2 are obtained (1 mark) (5 marks,) (4 marks) (-x)tan Cx) (i) Show that cov(1,2) i) Using the result from(ii) show that var ()1- (iv) Using...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
Friends.. I need help figuring it out this exercise. I am not sure if my answer is right. Thank you all for helping!! 19) The U.S. Department of Health has suggested that a healthy total cholesterol measurement should be 200 mg/dl. She conducts a study from a sample of random, independent people and the results are shown. Hypothesis test results: : Mean of population HO: 200 HAN > 200 Mean Sample Mean Std. Err. DF T-Stat P-value 208.26 5.7516066 49...