where t1 is the mean, and is the standard deviation. See https://en wikipedia org/wikiNormal distribution for more information about normal distribution The probability density function is shown in Figure 2-1: 68-95-99.7 Rule 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 68.27% 95.45% 99.73% Figure 2-1: Probability density You need to write a Python program to numerically integrate the probability density function from - to + . For convenience, you can assume that 0 and 1 in this task. You can only use two Python modules, math and random. Hints: To get the integral, you can estimate the area of the region colored in red (called R region). Task 2: (20 points) The probability density function of the normal distribution is: f(x) = e-(x-p?/(202)