Problem 3: Compute Normal distribution by Taylor series expansion Consider the standard normal distribution F(x)=1/2+1/2 _0^xe^(-y^2/2) dy If we expand e^(-y^2/2)=_(n=0)^((-1)^n y^2n)/(2^n n!) Using this

• Problem 3: Compute Normal distribution by Taylor series expansion Consider the standard normal distribution F(x)=1/2+1/√2π ∫_0^x▒〖e^(-y^2/2) dy〗 If we expand e^(-y^2/2)=∑_(n=0)^∞▒((-1)^n y^2n)/(2^n n!) Using this Taylor expansion, derive the expansion for normal distribution and write a program to compute the normal distribution. How do you recommend controlling the number of iterations? Draw the computed normal distribution function from your program within a certain range.