Find the mean and standard deviation of the distribution

Question

x

P(X)

8

0.27

4

0.34

2

0.16

0

0.23

Answer 1

x P(X)

8 0.27

4 0.34

2 0.16

0 0.23

mean is the sum of x* P(x) for all values of x.

variance is the sum of x^2*P(x) for all values of x minus the square of the above computed mean

the standard deviation is the square root of the above computed variance