5. 6. 7. 8. Develop a function that can calculate areas under the curve f(x)=e accept a value for z and then calculate and return the value of the integral Develop a function that: accepts an list of real numbers (float data type) calculates the sample standard deviation of the list of numbers returns the standard deviation Your function will -xdx. RY measurements of Develop a program that allows the user to convert between the metric millimeter, centimeter, meter, kilometers; and inches, feet, yards, and miles. The program should be written so that any one measurement can be converted to the other. Develop a function that accepts a list of reals numbers (floats) and then calculate and returns the 95% z-based confidence interval. The function must return a list consisting of two elements only, i.e. the lower and upper limits of the confidence interval.