The histogram shows the distribution of stops for red traffi

The histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. Use the histogram to find the mean, variance, standard deviation, and expected value of the probability distribution.

Solution

Thus,

a)

E(x) = Expected value = mean =    2.34   [ANSWER]

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b)

Var(x) = E(x^2) - E(x)^2 =    1.7844   [ANSWER]

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c)

s(x) = sqrt [Var(x)] =    1.335814358   [ANSWER]

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d)

E(x) = Expected value = mean =    2.34   [ANSWER]

x	P(x)	x P(x)	x^2 P(x)
0	0.05	0	0
1	0.24	0.24	0.24
2	0.34	0.68	1.36
3	0.14	0.42	1.26
4	0.15	0.6	2.4
5	0.08	0.4	2