Consider the density function Calculate the expected value m

Consider the density function:

Calculate the expected value, median, variance, standard deviation, and IQR. Please show/explain work!

Solution

1.expected value

f(0)=0

f(1)=0.04

f(2)=0.08

f(3)=0.12

f(4)=0.16

f(5)=0.2

f(6)=0.16

f(7)=0.12

f(8)=0.08

f(9)=0.04

Mean

Variance

Standard deviation

Median