8. Suppose A and B are events satisfyingPr(A) = 0.7,Pr(B)0.4 and Pr(AU B) = 0.9(a) Find Pr(AN B).(b) Are A and B mutually exclusive? Justify your answer.(c) Find Pr(AN B').(d) Find Pr(A' | B).(e) Are A and B independent events? Justify your answer.

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Answered: 8. Suppose A and B are events…

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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27. Let A and B be two given events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = %3D 0.5. Then P(A'/B') is *
It doesn’t show the last parts (e) P(N or M) Are the events N= no reaction and M= mild reaction mutually exclusive? Explain. Yes. P(N and M) = 0. Yes P(N or M) = 0. No. P(N or M) ≠ 0. No. P(N or M) ≠ 0. (f) Are the events N = no reaction and W= washing oil off within 5 minutes independent? Explain. Yes P(N and W) = P(N) • P(W). No. P(N and W) ≠ P(N) • P(W). Yes. P(N and W) ≠ P(N) • P(W). No. P(N and W) = P(N) • P(W).
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A restaurant owner wanted to know which time range are popular among the customers. Data were collected on the following events: L = a customer usually visits the restaurant during lunch time D = a customer usually visits the restaurant during dinner time Data collected suggest the following: P( L ) = 0.6 P( D ) = 0.7 P( L and D) = 0.3 What is the possibility that a customer only visit the restaurant during dinner time
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Assume A and B are independent events with P(A) = 0.14 and P(B) = 0.55. Find (a) P(A N B), (b) P(A U B), (c) P (A'n B'), (d) P (A' N B), and (e) P (ANB'). ..... (a) P(A N B) = (Type an integer or a decimal.) (b) P(A U B) = (Type an integer or a decimal.) (c) P (A' n B') = (Type an integer or a decimal.) (d) P (A'N B) = (Type an integer or a decimal.) (e) P (AN B') = (Type an integer or a decimal.)
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8. Suppose A and B are events satisfying Pr(A) = 0.7, Pr(B) = 0.4 and Pr(AUB) = 0.9 (a) Find Pr(An B). (b) Are A and B mutually exclusive? Justify your answer. (c) Find Pr(AN B'). (d) Find Pr(A' | B). (e) Are A and B independent events? Justify your answer.