Hi there, could you help me with these question? Could you show me the code for each question? The link of the dataset is https://rpubs.com/Dongdong/667271

estimator is E =0 -0=Xe-* - ded. Use R to simulate the distribution of error & when 1 = 5. Specifically, create a histogram for 10,000 simulated errors, and find the 2.5th percentile and 97.5th percentile for the error dis- tribution. Hint: the R function rpois draws a random sample from the Poisson distribution. (2) Suppose our data are a random sample X1, . .., X30 from the chi-square distribution on 1 degree of freedom. The median of this distribution is 0 = 0.45493, and a natural estimator for 0 is the sample median of our data. The error of this estimator is & = 0 - 0. Use R to simulate the distribution of the error E. Specifically, create a histogram for 10,000 simulated errors, and find the 2.5th percentile and 97.5th percentile for the error distribution. (4) The standard deviation of the waiting times in our sample is 13.595 minutes, easily found using the sd function in R. Find the boostrap confidence interval for the standard deviation of all of the waiting times for Old Faithful. Remark: the sample mean for the waiting times is about 71 minutes, more than 5 times the sample standard deviation. This suggests that the "Old Faithful" name for the geyser is indeed appropriate