Compute the expected value for distribution


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

  1. Compute the expected value for each distribution.
  2. Compute the standard deviation for each distribution.
  3. 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

  1. Compute the mean or expected number of accidents per day.
  2. Compute the standard deviation.

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Basic Statistics: Compute the expected value for distribution
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