Question

Give an example of (y,m’)
M = { E ⊆ X : F(E) ∈ Y }
M is not a sigma_algebra on x

Answer 1

Answer:

• The F1 = {∅,Ω,{a}} is not an algebra or σ-algebra, but F2 = {∅,Ω,{a},{b, c, d}} is a σ-algebra. Example 2 Let Ω be an infinite set. Then F5, the collection of all subsets of Ω that are either finite sets or have complements that are finite sets, is an algebra but not a σ-algebra.10. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, then *
• O(a) a = -7, b = -1
• O (b) a = 5, b = -1
• 0 (c) a = 2, b = -6
• (d) a = 0, b = -6

Answer 2

Step-by-step explanation:

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