(Solved): Please answer the following question. First and three can be done without R code but part c should b ...

Please answer the following question. First and three can be done without R code but part c should be done in R studio with R code. 

 

Answer all questions using the terms and methods we have learned in class. If you provide R code to answer a problem, provide all the necessary code and indicate clearly which variable(s) contain the answer. 1. (15 pts) This question contains a number of topics from earlier in the class, split into three separate parts. (a) Briefly explain the process of standardizing a sample mean as it relates to the Central Limit Theorem. In other words, if you have a sample mean X, where Å ~ N(u, ), what operations would you perform on X to obtain a term that follows a standard normal distribution (N(0,1))? the median. Choose (b) For highly right skewed data, the mean is the best answer. (A) equal to (B) less than (C) more than (c) Observe the following parallel system. If at least one component succeeds, the whole system succeeds. D in E out F Say the probability that each component succeeds is as follows: P(D) = 0.75 P(E) = 0.80 P(F) = 0.65 What is the probability that the whole system succeeds?