Question: LetM be a probabilistic polynomial time Turing machine, and let C be a language where for some fixed 0 < 1 < 2

LetM be a probabilistic polynomial time Turing machine, and let C be a language where for some fixed 0 < ε1 < ε2 < 1,

a. w ∉ C implies Pr[M accepts w] ≤ ε 1, and

b. w ∈ C implies Pr[M accepts w] ≥ ε2.

Show that C ∈ BPP. Use the result of Lemma 10.5.

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