Problem P4. If P(A) — 0.22, Р(B) — 0.25, Р(С) — 0.28, P(AN B) 3D 0.11, Р(ANC) 3D 0.05, P(BПC) %3 0.07 and P(An ВnC) 3D0.01. (а) Find P(B' г A). (b) Find P(B' U A). (c)Find P(C' n B'). (а) Find P(C"'|B'). (е) Find P(An BПCIAUBUC).
Problem P4. If P(A) — 0.22, Р(B) — 0.25, Р(С) — 0.28, P(AN B) 3D 0.11, Р(ANC) 3D 0.05, P(BПC) %3 0.07 and P(An ВnC) 3D0.01. (а) Find P(B' г A). (b) Find P(B' U A). (c)Find P(C' n B'). (а) Find P(C"'|B'). (е) Find P(An BПCIAUBUC).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please solve P-4
Transcribed Image Text:**Problem P₄:**
If \( P(A) = 0.22 \), \( P(B) = 0.25 \), \( P(C) = 0.28 \), \( P(A \cap B) = 0.11 \), \( P(A \cap C) = 0.05 \), \( P(B \cap C^c) = 0.07 \) and \( P(A \cap B \cap C) = 0.01 \).
(a) Find \( P(B' \cap A) \).
(b) Find \( P(B' \cup A) \).
(c) Find \( P(C' \cap B') \).
(d) Find \( P(C'|B') \).
(e) Find \( P(A \cap B \cap C | A \cup B \cup C) \).
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