Question

Let X be distributed as a geometric with a probability of success of 0.10. Give a...

Let X be distributed as a geometric with a probability of success of 0.10. Give a truncated histogram.

Math   Statistics-And-Probability   
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Answer #1

The pdf of X is,

Following table shows the different probabilites:

X P(X=x)
1 0.1
2 0.09
3 0.081
4 0.0729
5 0.06561
6 0.059049
7 0.0531441
8 0.04782969
9 0.043046721
10 0.038742049
11 0.034867844
12 0.03138106
13 0.028242954
14 0.025418658
15 0.022876792
16 0.020589113
17 0.018530202
18 0.016677182
19 0.015009464
20 0.013508517
21 0.012157665
22 0.010941899
23 0.009847709
24 0.008862938
25 0.007976644
26 0.00717898
27 0.006461082
28 0.005814974
29 0.005233476
30 0.004710129
31 0.004239116
32 0.003815204
33 0.003433684
34 0.003090315
35 0.002781284
36 0.002503156
37 0.00225284
38 0.002027556
39 0.0018248
40 0.00164232

Following is the histogram:

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