Answer:)
We have the following (consider the case where )
By the cyclicity of the commutator relations for the components of the angular momentum, we get that this relation holds for all .
Let 3(3.) 1a.b7a1Ab Jz la.b7= bla.b Show tht .2 2, Let 3(3.) 1a.b7a1Ab Jz la.b7= bla.b Show tht .2 2,
2. Let Yi-Au + β124 + εί, (jz 1,2, . . . ,n), where the εί are independent N(0, σ2). ow that the correlation coefficient ofBo and βί is-n /(nDx (b) Derive an F-statistic for testing H : β-0. 2. Let Yi-Au + β124 + εί, (jz 1,2, . . . ,n), where the εί are independent N(0, σ2). ow that the correlation coefficient ofBo and βί is-n /(nDx (b) Derive an F-statistic for testing H : β-0.
I need both 3 and 4, please. Show tht pty bonded Sets hon em bEB 3 Prove
Show that if X follows a binomial distribution with n, trials and probability of success p,-p,jz 1,2, Hint: Use the moment generating function of Bernoulli random variable) 1. , n and X, are independent then X, follows a binomial distribution.
Please select 2 & 3 2. Let X and Y be discrete random variables taking values 0 or 1 only, and let pr(X = i, Y = j)-pij (jz 1,0;j = 1,0). Prove that X and Y are independent if and only if cov[X,Y) 0 3. If X is a random variable with a density function symmetric about zero and having zero mean, prove that cov[X, X2] 0.
Let k > 3. Show that (1) 3 has order 2^(k-2) modulo 2k . (2) {3, -1} is a generating set for 2k . Let k 3. Show that (1) 3 has order 2-2 modulo 2* (2) {3,- is a generating set for 2 Let k 3. Show that (1) 3 has order 2-2 modulo 2* (2) {3,- is a generating set for 2
Let k > 3. Show that (1) 3 has order 2^(k-2) modulo 2^k . (2) {3, -1} is a generating set for 2^k Let k 3. Show that (1) 3 has order 2-2 modulo 2* (2) {3,- is a generating set for 2 Let k 3. Show that (1) 3 has order 2-2 modulo 2* (2) {3,- is a generating set for 2
please solve 2(a,b,c,d) maths Bis the Quat that an ean unbakmun the Sernd s ned is the evet tht Bis the Quat that an ean unbakmun the Sernd s ned is the evet tht
(11) Let A-{2" . 3", | n and m are non-zero integers). Show that 1 єА. (11) Let A-{2" . 3", | n and m are non-zero integers). Show that 1 єА.
(a) Let f(x) = 3x – 2. Show that f'(x) = 3 using the definition of the derivative as a limit (Definition 21.1.2). 1 (b) Let g(x) = ? . Show that y that -1 g'(x) = (x - 2)2 using the definition of the derivative as a limit (Definition 21.1.2).
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