Billboard

4
x f_x 0 48 1 37 2 30 3 24 4 20 5 16 6 13 7 11 8 9 9 7 10 6 11 5 12 5 13 3 14 3 15 2 16 2 17 2 18 1 19 1 20 2 21 1 22 1 23 1

description

srtrt

Transcript of Billboard

x f_x0 481 372 303 244 205 166 137 118 99 7

10 611 512 513 314 315 216 217 218 119 120 221 122 123 1

lambda 1.000LL -1729.6

x f_x P(X=x) E(f_x)0 48 0.36788 -48.00 0 92.01 37 0.36788 -37.00 1 92.02 30 0.18394 -50.79 2 46.03 24 0.06131 -67.00 3 15.34 20 0.01533 -83.56 4 3.85 16 0.00307 -92.60 5 0.86 13 0.00051 -98.53 6 0.17 11 0.00007 -104.78 7 0.08 9 0.00001 -104.44 8 0.09 7 0.00000 -96.61 9 0.0

10 6 0.00000 -96.63 10 0.011 5 0.00000 -92.51 11 0.012 5 0.00000 -104.94 12 0.013 3 0.00000 -70.66 13 0.014 3 0.00000 -78.57 14 0.015 2 0.00000 -57.80 15 0.016 2 0.00000 -63.34 16 0.017 2 0.00000 -69.01 17 0.018 1 0.00000 -37.40 18 0.019 1 0.00000 -40.34 19 0.020 2 0.00000 -86.67 20 0.021 1 0.00000 -46.38 21 0.022 1 0.00000 -49.47 22 0.023 1 0.00000 -52.61 23 0.0

A B C D E F12345678910111213141516171819202122232425262728

r 0.500alpha 5.000LL -2279.3

x f_x P(X=x) E(f_x)0 48 0.91287 -4.38 0 228.21 37 0.07607 -95.31 1 19.02 30 0.00951 -139.67 2 2.43 24 0.00132 -159.11 3 0.34 20 0.00019 -171.10 4 0.05 16 0.00003 -167.23 5 0.06 13 0.00000 -160.30 6 0.07 11 0.00000 -156.16 7 0.08 9 0.00000 -144.48 8 0.09 7 0.00000 -125.31 9 0.0

10 6 0.00000 -118.47 10 0.011 5 0.00000 -107.92 11 0.012 5 0.00000 -117.09 12 0.013 3 0.00000 -75.75 13 0.014 3 0.00000 -81.23 14 0.015 2 0.00000 -57.80 15 0.016 2 0.00000 -61.45 16 0.017 2 0.00000 -65.09 17 0.018 1 0.00000 -34.37 18 0.019 1 0.00000 -36.19 19 0.020 2 0.00000 -76.01 20 0.021 1 0.00000 -39.82 21 0.022 1 0.00000 -41.63 22 0.023 1 0.00000 -43.45 23 0.0

A B C D E F1234567891011121314151617181920212223242526272829

Problem 2 -- Solution

r 0.500alpha 5.000t 4

P(X(t)=0) 0.745E[X(t)] 0.40

Reach 25.5%Frequency 1.6GRPs 40

A B12345678910