The groundwater concentration of the chemical in a region is a random variable with the following probability density function:
f(x)= 1.2(x+x^2) for 0
f(x)= 0 for any other condition
a) Find out the probability that the chemical concentration exceeds 0.5.
b) Find out the mean concentration
c) Find out the standard deviation σ of the concentrations.
d) Find out the probability that the concentration is within ±2σ of the mean.
e) Find out the cumulative distribution of the concentrations.