Share
Explore BrainMass

Expected value of 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.

Attachments

Solution Preview

Please see attached file.

Compute the expected value for each distribution.

Distribution A ...

Solution Summary

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

$2.19