Given P(A) and P(B) are independent events, P(A) = 0.4 , P(AUB)' = 0.3 , and P(B)%3D%3D0.5.a) P(AnB) =%3Db) P(A') =c) P(A I B) =%3D

Given,P(A)=0.4P(A∪B)'=0.3P(B)=0.5

Answered: Given P(A) and P(B) are independent…

A First Course in Probability (10th Edition)

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Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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Pollution is one of the country's problems for many years now. If events: A. water pollution is present B. a water sample was found polluted C. water is safe for fishing Assume P(A) = P(A) = 0.30, P(B|A) = 0.75, P(B|A') = 0.20, P(C|A n B) = 0.20, P(C|A'n B) = 0.15, P(CJA n B') = 0.80, and P(C|A' n B') = 0.90 i. Find P(A N BnC) ii. Find P(B' n C) iii. Find P(C) iv. Find the probability that the water pollution is present given that the water the sample water was not found polluted. sole for fishing and
(a) Let F denote the cumulative distribution function (cdf) of a uniformly distributed random variable X. If F(2) = 0.3, what is the probability that X is greater than 2 ? (b) Let F denote the cdf of a uniformly distributed random variable X. If F(2) = 0.3, and F(3) = 0.6, what is F(6) ? (c) Suppose X and Y are Poisson Random Variables. X has a mean of 1 and Y has a mean of 2. X and Y are correlated with CORR (X,Y)=0.5. whats the variance of X+Y
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Given P(A) and P(B) are independent events, P(A) = 0.4 , P(AUB)' = 0.3 , and P(B) = %3D %3D %3D 0.5. a) P(AnB) = %3D b) P(A') = c) P(A I B) = %3D