If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following probabilities:a) P(Αn Β)b) P(AU B) =.90c) P(A) =.6d) P(B).3e) P(AU B).90f) P(AN B) =||

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Answered: If A and B are two mutually exclusive…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a B. Com. class 5% of the students are mischievous. Form a sample of dents caught at random find the probability that (i) none of them is tnievous, (ii) exactly two of them are mischievous and (iii) at least one of them is mischievous. 3 students caught at random find the probability that (i) none of them is CS Scanned with CamScanner
Suppose 90% of U.S. adults think social media is useful in daily life. Two adults were randomly selected, what's the probability that one think social media is useful, the other thinks not? a) (0.1)(0.1) b) (0.1)(0.9) c) (0.9)(0.9) d) (0.9)(0.1) x 2
Show that the probability that an event A or an event B or both will occur is given by the formula P(AUB) = P(A)+P(B)– P(AnB), and specialise this formula for the case (a) when A, B are mutually exclusive events and for the case (b) where A, B are statistically independent events. Find the probabilities P(A), P(B) when A, B are statistically independent events such that P(B) = 2P(A) and P(AU B) = 5/8.
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If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following probabilities: a) P(AN B) = o b) P(AU B) = .90 с) Р(А) .6 d) P(В) .3 e) P(AU B) : ) P(AN B) = 0 .90