let f p be a probability space and b f be such that pb 0 define another measure q f 0 1 be defin

Name: let f p be a probability space and b f be such that pb 0 define another measure q f 0 1 be defined by qa pab first show that f q is a probability space next suppose c f such that qc 0 prove 15227
Uploaded: 2023-08-03T10:46:55-08:00
Duration: 6 min 45 s
Channel: Madhur L
Description: let f p be a probability space and b f be such that pb 0 define another measure q f 0 1 be defined by qa pab first show that f q is a probability space next suppose c f such that qc 0 prove 15227

Question

Teresa Wray · Accepted Answer

To show that (Ω, F, Q) is a probability space, we need to show that Q satisfies the three axioms

Question

Let (Ω, F, P) be a probability space, and B ∈ F be such that P(B) > 0. Define another measure, Q : F → [0, 1] be defined by Q(A) = P(A|B). First show that (Ω, F, Q) is a probability space. Next, suppose C ∈ F such that Q(C) > 0. Prove that Q(A|C) = P(A|B ∩ C).

Please give Ace some feedback