Problem $1$:

Using the data in the table below, determine the a$)$ mean, and variance, b$)$ frequency as a function of the response, c$)$ number affected as a function of the of the response, and d$)$ show graphs for the frequency and number affected.

$\backslash$table$[[$Response$,],[0,0],[1,5],[2,10],[3,13],[4,13],[5,11],[6,9],[7,6],[8,3],[9,3],[10,2]]$

Problem $2$:

Using the data provided in Problem $1,$ and a$)$ determine the accumulated frequency between minus infinity and infinity $($using Equation $2-1),$ b$)$ between the mean and infinity $($using Equation $2-10,$ c$)$ between the mean plus the two standard deviations and infinity $($Equation $2-1),$ and d$)$ state your conclusions.