# tut_2 - P X = 7/15 3 1 = ∩ Y X P and Calculate and 3 2 =...

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College of Engineering, Qatar University Page 1of 2 Probability and Statistics, GENG200 Tutorial - 2 Question 1: a) If the sets X and Y are non-mutually exclusive, show that: ) ( ) ( ) ( ) ( Y X P Y P X P Y X P + = . b) Given two events X and Y , draw a Venn diagram to demonstrate that ) ( ) ( ) ( Y X P Y X P X P + = , and deduce that ) ( ) / ( ) ( ) / ( ) ( Y P Y X P Y P Y X P X P + = . Question 2: Consider two events X and Y with probabilities,

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Unformatted text preview: P ( X ) = 7/15, 3 / 1 ) ( = ∩ Y X P , and . Calculate , , and 3 / 2 ) / ( = Y X P ) ( Y P ) / ( X Y P ) / ( X Y P . State with reasons whether the events X and Y are independent or mutually exclusive. Question 2.66: Question 2.69: Question 2.73: College of Engineering, Qatar University Page 2of 2...
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tut_2 - P X = 7/15 3 1 = ∩ Y X P and Calculate and 3 2 =...

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