Prove the indicator function The collection of sets {A} for which A₁ = [i,i+1) form a partition of [0,00)An indicator function of the set A is the function on given byif w€ Aif w€ AOperations on indicator functions are equivalent to set1₁(w) =(1so that 14 indicates whether A occurs.operations on events1AUB= max(1A, 1B}1AOB = min{14, 18} = 1A1B1AC=1-1A1AAB = 11A 1B|- 1ΑΔΒ = |1, - 1g|

For two sets A and B, their symmetric difference is defined as A Δ B = (A – B) ∪ (B – A)

Answered: 1ΑΔΒ = |1, - 1g|

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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