Calculation of expected value, standard deviation and variance of a random variable

Given the following probability distributions:

Distribution A Distribution B
X P(X) X P(X)

0 0.50 0 0.05
1 0.20 1 0.10
2 0.15 2 0.15
3 0.10 3 0.20
4 0.05 4 0.50

a. Compute the expected value for each distribution.
b. Compute the standard deviation for each distribution.
c. Compare and contrast the results of distributions A and B.

The following table contains the probability distribution for the number of traffic accidents daily in a small city.

Number of Accidents Daily (X) P(X)

0 0.10
1 0.20
2 0.45
3 0.15
4 0.05
5 0.05

a. Compute the mean or expected number of accidents per day.
b. Compute the standard deviation.

See attached file for full problem description.

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