27.12. There can be asymptotic normality even if there are no moments at all. Construct a simple example.
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A: The inverse of matrix A is written as A-1 so that A A-1 = A-1 A =
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Q: 4 1) L-^ { 2x-3 5²-4x+8.
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Q: Q3./ Solve the following simultaneous ODE, y₁ = -3y₁+ y2 y2 = Y₁ - 3y2 У1
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Q: Q3): Find the Laplace transform of (u²-u+e") du.
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Q: (a.V)a= Va²-ax (Vxa)
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- Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.After which time tB will the router fail for the second time with a probability of at least P = 0.999? Hint: You will face a transcendental (in)equation, which requires an approximate/numeric solution, e.g. by searching for the intersection tB of two curves, s(t) and m(t) = 0.999 Note: until failure is approximately well estimated with an exponential distribution with a rate λ = (100h) −1Suppose that n observations are chosen at random from a continuous pdf fY(y). What is the probability that the last observation recorded will be the smallest number in the sample?
- A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 50 bananas randomly selected indicated a mean weight of 153.5 grams per banana. Is there sufficient evidence to reject the company's claim? Use a = 0.05. Given: Reject Ho if z < -1.96 or z > 1.96 The graph will be a bell shaped and shaded at both tails at [ left side at z = -1.96 and right side at z = 1.96] z = (x -μ)/[o /√n] z = (153.5-150)/[18/√50] Z = 1.375 We fail to reject the null hypothesis because 1.375 < 1.96 There is not sufficient evidence to support the rejection of the company's claim. To Do: Kindly draw what the given stated (draw the rejection region).The right and left tails of the normal curve are asymptotic with respect to thea. vertical axisb. originc. horizontal axisd. none of theseWhat is the critical value for a two-tailed t test when α = 0.02 and d.f. = 18?
- Approximately one-third of Canadians have some form of privately-covered long-term disability insurance. If random groups of 165 Canadians are sampled, find the range of values that the middle 95% of the sample proportions of those with long-term disability health insurance are likely to fall. = ? < p̂ < ? Round to four decimal places if necessary Enter 0 if normal approximation cannot be usedIn a previous Paul, 44% of adults and children under the age of 18 reported that their family eat dinner together seven nights a week... use technology to find the P value. P value =_. (round to three decimal places as needed.) should one reject the null hypothesis? or should one not reject the null hypothesis?Show that if ν > 2, the chi-square distribution has arelative maximum at x = ν − 2. What happens whenν = 2 or 0 <ν< 2?
- Show that the slope of the normal line to the curve y = 5 /(3-7x)^3 is never positive. cheggSuppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.The variation of Y around its mean can be decomposed into which two parts?