3. A random variable that can be used to find a 0.954 confidence interval for u, the mean of the gamma distribution is (x-48) 5x 10~t(n − 1) 482/25 28 O True O False 4. The confidence interval of ß is given by 5x 5 x 2 (10+ta) 2 (10-ta

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A: Ans.   Given matrix      A=520250002 we know that Eigen values are roots of equation     A-λI=0 So,…

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A: GIVEN : 2 ≤f'(x) ≤6,  for -1 ≤x≤1 TO FIND : f(1) - f(-1) HINT : Mean value theorem

Q: 8. Let BC2, C C2 and define if n is odd, В, C, An if n is even. What is lim inf An and lim sup A,?

A: For the solution follow the next step.

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Q: 4.2. Let a=for n23 (a) Let f be the function given by f(x) = -1/ For x23, fis continuous, xlnx…

A: Please see the attachment  We are supposed to do one problem.

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Q: 21. Suppose A is a field and suppose also that A closed under countable disjoint unions. Show A

A: This is a question of measure theory.

Q: b. If A = 3 x and A = AT, then: x=0, y=0 None of them. O x=y O x+y=0

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Q: Q: By using Euler's equation Solve the following: f\x,リyx) %3D

A: Given:  fx, y, y'=x1+y'2 where y'=yx So, ∂f∂y=0,  ∂f∂y'=xy'1+y'2

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A: Laplace transferom

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A: Solution:

Q: vationš 50. Consider the 3 observations 3,7,11 for which the mean is 7 and the standard deviation is…

A: Solution: Given information: The  3 observations are  3,7 and 11 The mean is 7  and standard…