In pyhton q1. consider an experiment that consists of recording the birthday for each of 20 randomly selected persons. ignoring leap years, we assume that there are only 365 possible distinct birthdays. furthermore, we assume that each of the possible sets of birthdays is equi-probable (1)what is the probability that each person in the 20 has a different birthday? (2)find the minimum number of persons such that the probability of two or more people have a same birthday is at least 50%.(3)find the minimum number of persons such that the probability of two or more people have a same birthday is at least 95%.q2. poisson as an approximation to the binomial distribution. (1)generate 1000 random numbers from the binomial(n=200, p=0.01) distribution and generate 1000 random numbers from the poisson(μ=2) distribution. do not print the two data sets. show your python code only.(2)compare the mean, median, standard deviation, histogram and boxplot of the two data sets generated in part (1). what do you conclude? (3)repeat part (1) 10, 000 times and (a)calculate the difference of the sample means for each paired data sets, and draw a histogram of these 10,000 differences. what you can see from this histogram? (b)calculate the difference of the sample standard deviations for each paired data sets, and draw a histogram of these 10,000 differences. what you can see from this histogram?