# Industrial System Simulation 2 Essay Example

Pick time mean= 45min

Weighing mean time = 6min

p(x<20) = e-20/45

p(x<20) = e-20/6

= 0.03567

Total probability = 0.03567 * 0.641

= 0.02287

F-1(p) = — m ln(U)

y-1 =- m ln(U)

y-1 = — 0.641ln (U)

The graph from the above is  Data is in the attached excel sheet

Exponential mean for picking =45min

Exponential mean of weighing = 5min

Normal distribution = 1min

Standard deviation = 0.25min

λ1=1/45

p(x<20)=e-20/45

P(x>5) = e-20/5

From normal distribution table, with sd of 0.25 p(x>1)= 0.5987

Total probability

P(x>20)= 0.641 * 0.018*0.5987

p(x<60)=e-60/45

P(x>5) = e-60/5

= 0.0000061

From normal distribution table, with sd of 0.25 p(x>1)= 0.5987

p(x<60)= 0.265* 0.000006*0.5987

= 0.00000097 P(n>5000)= e(-1000/800)*0.05

1. From z distribution table mean = -3.1

Y=f(x)=1-e-x/3.1

Inserting log on both sides

Log(1-y)=-x/3.1

Radom variables generated are as shown

 0.141848 0.300421 0.480196 0.687731 0.933193 1.233614 1.620924 2.166807

The simulation  Mean =-6.2

Log(1-y)=-x/6.2

 exponential 0.283696 0.600842 0.960392 1.375462 1.866386 2.467228 3.241848 4.333614  Save Your Time for
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