The following shows the probability distribution for the random variable x: x x p(x) 1. 0.20 2. 0.10 3. 0.30 4. 0.25 5. 0.15 a) Explain the validity of the distribution if it is so. b) Compute E(x) or...

The following shows the probability distribution for the random variable x:

 x
 x p(x)

1.                           0.20

2.                           0.10

3.                           0.30

4.                           0.25

5.                           0.15

a) Explain the validity of the distribution if it is so.

b) Compute E(x) or µ, the expected value of x.

c) Compute σ, the standard deviation of x