The monthly return of a fund follows N(0.01,0.12).

a) Monthly return is between -2% and 4%? Why is the solution 2*P(0.01 < r < 0.04) = 2*P(0 < z < 0.3) ?

What is r? And why is there a 2*P?. please show using explanation &diagrams for this part and the other parts.

b) Monthly return is greater than 5% or less than 5%?

c) Monthly return is within 2 standard deviations of the mean?