Load the "MASS" package. In the immer dataset of the "MASS" library: we have Y1 Yield in 1931, Y2 Yield in 1932. Assuming that the data in immer follows the normal distribution, find the 95% confidence interval estimate of the difference between the mean barely yields between years 1931 and 1932 (Hint:paired t-test). Get "p-value" in a variable pvalue and "statistics" in a variable st. (Hint: ttest<-t.test(..,..,...) and then names(ttest)

2. An airline wants to evaluate the depth perception of its pilots over the age of fifty. A random sample of n = 14 airline pilots over the age of fifty are asked to judge the distance between two markers placed 20 feet apart at the opposite end of the laboratory. Assume we don't know the population standard deviation. The sample data listed here are the pilots' error (recorded in feet) in judging the distance. 2.9 2.6 2.9 2.6 2.4 2.0 2.3 2.2 2.5 2.3 2.8 2.5 2.7 2.6 Show a histogram of the data. Comment on any important features. How to create the histogram with python?

Solve In R programmning language: Calculate the probability for each of the following events: (a) A standard normally distributed variable is less than -2.5. (b) A normally distributed variable with mean 35 and standard deviation 6 is larger than 42 but less than 45. (c) A normally distributed variable with mean 35 and standard deviation 6 is larger than 40 but less than 41. (d) X < 0.9 when X has the standard uniform distribution (min=0, max=1). (e) 1 < X < 3 in the exp distribution with rate λ = 2.

Please help step by step with Program R (CS) with a final code for understanding thank you