7. Let A, B, and C be events with P(A) = .6,P(B) = .3,P(C) = .4, P(AB) = .2,P(BC) = 0,P(AC) = .1. Find:(a) P(AB'C') (c) P(C'B|C')(b) P(AB) (d) P(B'|(AUC)

It is given that:This means that there is no interaction between the events B and C.The Venn diagram…

Answered: 7. Let A, B, and C be events with P(A)…

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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Suppose there are 6 red balls and 4 white balls in a urn.(1) event A={First draw is a white ball}, what is P(A), probability of A?(2) Now assume we do picking balls one by one without replacement. event B={Second draw is a white ball}, what is P(B), probability of B? (3) Are A and B independent? Justify your answer. please explain and do all the steps fully!
1. Suppose U and V are mutually exclusive events with P(U) = 0.45; P(V) = 0.37. Find: P(U and V) = P(U|V) = P(U or V) =
(d) P(N and W) P(M and W) (e) P(N or M). Are the events N = no reaction and M = mild reaction mutually exclusive? Explain. No. P(N or M) ≠ 0. No. P(N and M) ≠ 0. Yes. P(N and M) = 0. Yes. P(N or M) = 0. (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain. 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). Yes. P(N and W) = P(N) · P(W).
14. Event A and Event B are dependent. 21 a) P(B)=; p(A and B) 200 P(B|A) = b) P(B|A) = ; P(A and B) P(B) = 200
(a) P(E) = 0.8, P(F) = 0.5. Suppose E and F are indepdendent.Compute P(E or F) and P(E and F).(b) Suppose that E and F are two events, and P(E) = 0.9 and P(F|E) = 0.3.Compute P(E and F).
1. Let A and B be independent events with P (A) = 0.7 and P (B) = 0.2. Compute: (a) P (A∩B) (b) P (A∪B) (c) P (A∪B′).
Assume A and B are independent events with P(A) = 0.42 and P(B) = 0.65. Find (a) P(A n B), (b) P(AUB), (c) P (A'n B'), (d) P (A'n B), and (e) P(ANB'). ... (a) P(An 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.)
4. Let A und B be two events such that: P(A)=0.48. P(B)=0.67 and P(AnB)=0.22 Then P(AUB) = a) 0.55 b) 0.93 c) 0.26 d) 0.87
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.)
Suppose A, B and C are events such that P(A): = 0.46, P(B): = P(BNC) = P(ANC) = 0.16 and P(AnBnC) = 0.06. (a) Are events A and B mutually exclusive? Why? (b) Find P((An BNC)) (c) Find P((AUBUC)) 0.51, P(C) = 0.41, P(An B) =
If A and B are events with P(A U B)) = /8, P(ANB)= 4 P(A) is equal to: (a) 1/8 (b) 2/8 (c) 3/8 (d) 4/8

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7. Let A, B, and C be events with P(A) = .6, P(B) = .3, P(C) = 4,P(AB) = 2, P(BC) = 0, P(AC) = .1. Find: (a) P(AB'C') (c) P (C'B|C') (b) P(A/B) (d) P(B'|(AUC)