Pelase help with this problem. e rane om Variables ..ǐ.d. (indep, and id. distuboted WI I...
4. Suppose Yi Y, are id randonn variables with E(Y )-μ, Var(Y)= σ2 < o For large n, find the approximaate distribution of YBeure to name any theorems you used.
Problem statement: Prove the following: Theorem: Let n, r, s be positive integers, and let v1, . . . , vr E Rn and wi, . . . , w, є Rn. If wi є span {v1, . . . , vr} for each i = 1, . . . , s, then spanfVi, . .., v-) -spanfvi, . .., Vr, W,...,w,) Suggestiorn: To see how the proof should go, first try the case s - 1, r 2..] Problem...
Need a help with both parts pelase. I need help with b1 and b2. Thank you. Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 47 % Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 45 %, and one-half have an alpha of-4.5 %. The analyst then buys $1.5 million of an equally...
Problem 3: Understanding the chi-squared test of independence of categorical random variables The problem has two sub-problems that should help understand the chi-squared test of independence. a) For the chi-squared test of independence between two categorical variables, we use the fact that the MLE for the probability that a multinomial trial is of category i is ni /n, where ni is the number of trials that fall into category i, and n is the total number of trials. Prove the...
3. In this question, you will identify the distribution of the sum of independent random variables. I expect you will find that the mgf approach is your friend. (a) Let X and Y be independent Poisson random variables with means A1 and 12, respectively, and let S = X+Y. What is the distribution of S? (b) Let X and Y be independent normal random variables with means Husky and variances 07. 07. respectively, and let S = X+Y. What is...
I need help setting up this problem and identifying the variables Energy change is the sum of heat and work: ΔE = q + w. Work is calculated by: w = -PΔV What is the change in energy (in joules) if a reaction loses 215 J of heat and decreases in volume from 0.650 L to 0.225 L at a constant pressure of 3.17 atm? Please include the correct sign with your numerical result.
I need help with these synthesis problems ...written out please OH vn 애 DA 01 1 Br 1 om OH vn 애 DA 01 1 Br 1 om
Let with Y, Y, ..., Yn be i id random variables the following probability density function, 1 x)/x fyly) = f I y ocyc1 o otherwise a) b) where x>0 is an unknown parameter. Find the maximum likelihood estimator , ã of x. Show this is an unbaised estimator for a. Hint : make use of the fact that in y follows an exponential distribution with mean a. Toe., -lny ~ Exp(x) c) Find the MSE of the manimum likelihood...
l. X) points Lei Xi, X, X b e random variables . I. adl X, is "uifornly disi rilnicd 。" on [0,1]. The random variables Xi, X2, X3,... are independent. The random variable N is the first integer n 2 1 such that Xn 2 c where 0< c< is a constant. That is, N = min(n : Xn-c). What is EM?
Can I please get help with this question? Will upvote. thanks. Problem 4. Here's a problem that occurs in automatic program analysis. For a set of variables x1, ..., Xn, you are given some equality constraints, of the form "x, = x," and some disequality constraints, of the form “x, #x": Is it possible to satisfy all of them? For instance, the constraints x, = XX, = x3,x; = x, *, * x. cannot be satisfied. Give a polynomial time...