Question

You are given the following Discrete Probability Distribution p(x)

Row	x	P(x)
1	1	0.1
2	2	0.156
3	3	0.147
4	4	0.2
5	5	0.222
6	6	0.056
7	7	0.02
8	8	0.099
		1

Provide the following:

1. Mean (Expected value)
2. Variance
3. Standard Deviation
4. Graph (Histogram) of the Probability Distribution

Answer 1

Here we have data:

Row	X	P(x)	X * P(x)	(X - mean)^2	(X - mean)^2 * P(x)
1	1	0.1	0.1	9.1870	0.9187
2	2	0.156	0.312	4.1250	1.2870
3	3	0.147	0.441	1.0630	0.4688
4	4	0.2	0.8	0.0010	0.0008
5	5	0.222	1.11	0.9390	1.0422
6	6	0.056	0.336	3.8770	1.3027
7	7	0.02	0.14	8.8150	1.2341
8	8	0.099	0.792	15.7530	12.4763

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