solve using R or R studio

2. Daily rainfall data, in millimeters, is modeled as having a(1/2,) distribution. The density is for 0, (a) Find the method of moments estimator for B based on rainfall amounts ri, r2,.,rn (b) Give the estimate B for the monsoon rainfall amounts in millimeters during July and August, 2017 for Tucson, Arizona 3 15 1 37 5 1 8 11 6 9 12 35 22 3 38 1 2 (c) On a single plot, give both the empirical cumulative distribution function for the data above and the appropriate gamma distribution function. (d) Use B and the gamma distribution commands in R to estimate the probability that a monsoon rain exceeds 25 mm. Indicate this value on the plot (e) Is this estimator biased? How did you reach this conclusion. (f) Use the delta method to estimate the variance in the estimator using the value obtained for B for the n 17 monsoon rainfall amounts. 2. Daily rainfall data, in millimeters, is modeled as having a(1/2,) distribution. The density is for 0, (a) Find the method of moments estimator for B based on rainfall amounts ri, r2,.,rn (b) Give the estimate B for the monsoon rainfall amounts in millimeters during July and August, 2017 for Tucson, Arizona 3 15 1 37 5 1 8 11 6 9 12 35 22 3 38 1 2 (c) On a single plot, give both the empirical cumulative distribution function for the data above and the appropriate gamma distribution function. (d) Use B and the gamma distribution commands in R to estimate the probability that a monsoon rain exceeds 25 mm. Indicate this value on the plot (e) Is this estimator biased? How did you reach this conclusion. (f) Use the delta method to estimate the variance in the estimator using the value obtained for B for the n 17 monsoon rainfall amounts