Use R

10 random numbers are selected from each of the uniform distribution U(0,1), the standard normal distribution, the exponential distribution with lambda=1, and the Poisson distribution with lambda=1 by setting the number of Monte Carlo iterations to 1,000.

1. For each of the four distributions, find the distribution for the range, draw a boxplot, a violin plot, a histogram, and a KDE, and analyze and compare them.

2. For each of the four distributions, find the joint probability distribution for the minimum and maximum values, draw a scatterplot and bivariate KDE, and analyze and compare them.