do not use numpy, only use imports from math

a) Write a function defined as: PetTEDE, Erge, C, GT-True which takes 1 s is the Gaussianormal probability density function S(x)=J2 argument containing values for x, (population mean), and o (population standard deviation). Bras: is a tuple containing and o is a floating point value ST is a boolean indicating if we want the probability of x being greater than -True) or less than -False) To find the probability of x+20|N(175,3)) Print you findings to the console in the following format: P(x181.00/N(175,3))-ZZZ e . a) Write a function defined as: FEDDED (PDF, args, C, GT-mes 1 FE: is the Gaussianormal probability density function f(x) =- which takes 1 argument containing values for x, (population mean), and a (population standard deviation) g: is a tuple containing and o is a floating point value is a boolean indicating if we want the probability of x being greater than C-True) or less than -False) To find the probability of you should use the Simpson's 1/3 rule to integrate PDF between the limits of x=-5.o to Write and call and function that uses your LDL function to find: P(xu2+26/N(175, 3)) Print you findings to the console in the following format: P(x181.00 N(175,3))-Z.ZZ