# tut_3_sol - CollegeofEngineering,QatarUniversity

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College of Engineering, Qatar University Page 1of 3 Probability and Statistics, GENG200 Tutorial - 3 Question Sections 3-1 Page 69: 1) 3-1 2) 3-2 3) 3-3 4) 3-11 5) 3-12 6) 3-13 SOLUTION: 3-1. The range of X is {} 1000 ,..., 2 , 1 , 0 3-2. The range of X is 012 50 , , ,. .., 3-3. The range of X is 99999 3-11. The range of X is } 10000 , , 2 , 1 , 0 { K 3-12. The range of X is {100, 101, …, 150} 3-13. The range of X is {0,1,2,…, 40000) Exercises Sections 3-2 Page 71: 7) 3-14 8) 3-21 Answer: 3-14. 6 / 1 ) 3 ( 6 / 1 ) 2 ( 3 / 1 ) 5 . 1 ( ) 5 . 1 ( 3 / 1 6 / 1 6 / 1 ) 0 ( ) 0 ( = = = = = = + = = = X X X X f f X P f X P f a) P( X = 1.5) = 1/3 b) P(0.5< X < 2.7) = P( X = 1.5) +P( X = 2) = 1/3 + 1/6 = 1/2 c) P( X > 3) = 0 d) (0 2) ( 0) ( 1.5) 1/3 1/3 2/3 P X PX ≤<= =+ = = + = e) P( X = 0 or X = 2) = 1/3 + 1/6 = 1/2 3-21. X = number of wafers that pass P(X=0) = (0.2) 3 = 0.008 P(X=1) = 3(0.2) 2 (0.8) = 0.096 P(X=2) = 3(0.2)(0.8) 2 = 0.384 P(X=3) = (0.8) 3 = 0.512 Exercises for Section 3-3 Page 73: 9) 3-29 SOLUTION: 3-29.

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College of Engineering, Qatar University Page 2of 3 where < < < < < = x x x x x x x F 2 1 2 1 8 / 7 1 0 8 / 5 0 1 8 / 3 1 2 8 / 1 2 , 0 ) ( 8 / 1 ) 2 ( 8 / 2 ) 1 ( 8 / 2 ) 0 ( 8 / 2 ) 1 ( 8 / 1 ) 2 ( = = = = = X X X X X f f f f f
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## This note was uploaded on 10/12/2011 for the course STATISTICS 101 taught by Professor Nazim during the Spring '10 term at Qatar University.

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tut_3_sol - CollegeofEngineering,QatarUniversity

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