Discuss the below:
Q1: 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
|
- Compute the expected value for each distribution.
- Compute the standard deviation for each distribution.
- Compare and contrast the results of distributions A and B.
Q2: 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
|
- Compute the mean or expected number of accidents per day.
- Compute the standard deviation.