2:32 O O M • Define the function um : O 53% E [0, 00) by 2 if mEА 1 if m¢ A Hm (A) = , then Hm is not a measure. b. а. is a measure and Hm({m, p}\{n,p}) = 1. Hm is a measure and um ({m, p}\{n,p}) = 2...

Extracted text: 2:32 O O M • Define the function um : O 53% E [0, 00) by 2 if mEА 1 if m¢ A Hm (A) = , then Hm is not a measure. b. а. is a measure and Hm({m, p}\{n,p}) = 1. Hm is a measure and um ({m, p}\{n,p}) = 2 d. None of these. с. a b Q Let (X, B(R), µ) be a Borel measure space. Suppose that {A, = [2n-1 3n+1]}, be a family of elements of B(R). Then u(U +1, n=1 4n-11) equals a.0 b.1 c.3 d.4 a b O d Q.Let g : [1,4] +R be continuous function. Define G(x) = * g(t)dt. Then II