Please Use R Programming Please Use R Programming Please Use R Programming Please Use R Programming Please Use R Programming .

Please Share the code and output.

Exercise 2. Let denote the proportion of Texans who support the death penalty. From past experience, it is known that E()=0.6 and V()=1/25. a. Choose a Beta prior distribution for , with appropriate hyper-parameters 1 and 2. b. Simulate a sample of 10,000 values from this distribution using rjags and generate the empirical density. c. Estimate the probability that >0.8. d. Estimate the probability that /(1)>1.5. e. Use rjags to estimate the probability that in a set of 50 Texans, more than 66% of them (n=33) support the death penalty