Given the following probabilitydistributions:

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 deviationfor 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 meanor expected number of accidents per day.

b. Compute the standard deviation.

See attached file for full problem description.

Please see attached file.

Compute the expected value for each distribution.

Distribution A …

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