In: Operations Management
7) Use Excel to generate a series of 100 random values from the exponential distribution with a mean of 25? USING EXCEL SHOW ALL WORK
The cumulative distribution function (CDF) of an exponential distribution is:
F(x; lambda) = 1 - exp(-lambda * x)
G(x) = - 1/lambda * logn(1- x) here (1/ lambda = mean)
F(x)=-25*LN(RAND())
Natural logarithm of any set of numbers is a normal distribution to convert a normal distribution into an exponential distribution the set of numbers should be multiplied by negative of the required mean
60.15752504 |
1.661629654 |
32.73995611 |
7.580579137 |
15.96415152 |
53.36770277 |
14.0812872 |
1.484287902 |
30.44099364 |
12.26825001 |
111.5515469 |
29.33476013 |
11.6831418 |
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52.71399343 |
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1.395905682 |
16.53314093 |
2.188530493 |
73.92327358 |
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3.684787587 |
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10.6802051 |
11.6243284 |
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44.80698542 |
91.97898228 |
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55.47417467 |
11.28694278 |
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11.16766403 |
125.6616077 |
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10.30960026 |
1.411706511 |
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65.77586643 |
61.28367883 |
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29.46023512 |
78.72600113 |
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31.3748151 |
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3.293868868 |
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15.19425732 |
79.00349224 |
16.56876417 |
16.65740814 |
15.98801644 |