Please answer the question and WRITE LEGIBLY - thanks
6. Show that for a > 1/2, s-0 where the limit is taken in the mean square sense.
6. Show that for a > 1/2, lim s W(1/s) s-+0 where the Iimit is taken in the mean square senuse.
6. Show that for a > 1/2, lim s W(1/s) s-+0 where the Iimit is taken in the mean square senuse.
Please prove in two cases the case where the limit equals 0 and
the case where the limit is greater than 0. thanks!
Prove the negative-valued version of the limit comparison test, that is: Theorem 1. Suppose that a negative-termed series an is to be treated for convergence or divergence. Then: 1. If there exists a converging series bn with bk < 0 for each k, such that lim line is finite, then Lan convergese. n-00 2. If there exists...
Using Python: Compute the Mean Square Error (MSE): ???=1?∑??=0(??−??)2 M S E = 1 n ∑ i = 0 n ( X i − Y i ) 2 . Where ?? X i and ?? Y i imply the ? i -th elements in ? X and ? Y , and ? n is the number of elements in ? X and ? Y (for example, create one-dimensional arrays ? X and ? Y with 5 elements).
4 Show, from the definition of mean square error that MSE(0) = V(0) + Bias(0)2. Justify all of your steps.
Time Taken:22:43:04 Kaetlyn Detton: Attempt 1 Question 14 (1 point) d What is the root-mean-square velocity of HBr (g) molecules at 300 K? 249 m/s 861 m/s 106 m/s 304 m/s 652 m/s Save ved Pag Next Page Previous Page enovO Di? 8 5 6
Exercise 3.16: A sample of n independent observations is taken on a rv. X having a logarithmic series distribution, x=1, 2, EWT-0), , x In . Show that the MLE θ of θ where θ is an unknown parameter in the range (0,1) satisfies the equation e+ ž(1-0) ln(1-9-0, Fuercio ti tample mean. Find the asymptotie distribution oftå.
Exercise 3.16: A sample of n independent observations is taken on a rv. X having a logarithmic series distribution, x=1, 2, EWT-0),...
1. Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" if limit does not exist.) lim : x→10 (x−10)/(x2−100)= 2. Evaluate the limit. (Use symbolic notation and fractions where needed.) lim : x→−6 (x^2+13x+42)/(x+6)= 3. Evaluate the limit: lim : x→0 (cot7x)/(csc7x)= 4.Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" in answer field if limit does not exist.) lim : x→1 [(7/(1−x)) −(14/(1−x^2))]=
Question 7) Construct a 95% 1-sided lower
limit confidence interval on the percentage of green skittles.
(α=0.05)
Please write legibly. Will rate and comment. Thank you.
48 students participated in evaluating small package of skittles. The following table shows the result of this study. Assume the weight of skittles are normally distributed with standard deviation of 2 grams. Net Weight Green Red Yellow Brown Orange Count 2923 Total 2978.4 576 589 641 531 586 Sample Mean 62.05
2. Suppose Xi ~ N(8,02) where θ > 0. (a) Show that s--(x, Σ¡! xi) is a sufficient statistic of θ where X is the sample mean. (b) Is S minimal sufficient? (c) Can you find a non-constant function g(.) such that g(S) is an ancillary statistic?
1. Consider a particle of mass m in an infinite square well with potential energy 0 for 0 Sz S a oo otherwise V (x) For simplicity, we may take the 'universe' here to be the region of 0 S z S a, which is where the wave function is nontrivial. Consequently, we may express stationary state n as where En is the associated mechanical energy. It can be shown that () a/2 and (p:)0 for stationary state n. (a)...