TOM302 HW2 - TOM302 H.W2 6.54 P(0)={6/0(6-0 0.120(1-0.12)6...

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TOM302 H.W2 6.54 P(0)= {6!/0!(6-0)!} * 0.12 0 (1-0.12) 6 =1*1*(0.88) 6 = 0.464 P(1)= {6!/1!(6-1)!} * 0.12 1 (1-0.12) 5 =1*(0.12)(0.88) 5 = 0.38 P(2)= {6!/2!(6-2)!} * 0.12 2 (1-0.12) 4 = 15(0.0144)(0.88) 4 = 0.129 P(0)+P(1)+P(2 )= 0.973 6.61 λ=12 e=2.718 x=3 P(0)= 1.2 3 e -1.2 /3! = 0.086 P(1)= 1.2 2 e -1.2 /2! = 0.216 P(2)= 1.2 1 e -1.2 /1! = 0.361 P(0)= 1.2 0 e -1.2 /0! = 0.301 0.086+0.216+0.361+0.301= 0.964 6.67 5/2000=0.0025
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Unformatted text preview: λ=200*0.0025=0.5 P(0)0.5 e-0.5 /0! = 0.606 6.71 3.6/100=0.036 λ=0.036*200=7.2 using Appendix A. in textbook. P(0)=0.0007 P(1)=0.0054 P(2)=0.0194 P(3)=0.0464 P(4)=0.0836 P(5)=0.1204 P(6)=0.1445 P(7)=0.1486 P(8)=0.1337 P(9)=0.1070 P(10)=0.0770 P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)= 0.8867...
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  • Winter '08
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