Using R, I need to answer the following using questions using RStudio: The mean is 30 and standard deviation 5 of a distribution 1.Approximately 95% is between which two numbers? 2.Generate a new vector, called x, which will replicate the individual scores. Because the results were normally distributed (shaped like a normal curve), well generate normal data. We do this by using the rnorm function in R. Generate a vector of size 70, with a mean of 30 and a standard deviation of 5 3.Select a sample of 5 observations from that x vector and create a vector called sample5.1. 4.Select another sample of 5 from the x vector and create a new vector called sample5.2. 5.Based on your answer to the question above, if you were to randomly select an additional student from the remaining 65 students who were not part of the sample that generated sample5.2, what is your best prediction for the mark of that next student?