Need help with the following statistics questions along with R programming language. Please provide a clear explanation and the code if applicable.

Question 20 (1 point) Which of the following R functions for calculating probability that a normal random variable with mean 23 and variance 25 is less than 10 or greater than 27? O1 + pnorm(10, 23, 5) - pnorm (27, 23, 5) O1 - pnorm(10, 23, 5) - pnorm (27, 23, 5) O1 - pnorm (27, 23, 25) - pnorm (10, 23, 25) O1 + pnorm (27, 23, 25) - pnorm (10, 23, 25)Question 21 (1 point) A survey found 60% of Canadian drink at least three glasses of water a day. Suppose 100 Canadians are selected at random. What is the probability that exactly 40 drink at least three glasses of water a day? Odpois(40, 3) Oppois(40, 3) O dbinom(40, 100, 0.6) Ophinom(40, 100, 0.6)Question 25 (1 point) Which of the following can generate 100 random values with Poisson distribution with mean=2.5? O dpois(100, 2.5) Oppois(100, 2.5, lower.tail = TRUE) Orpois(100, 2.5) Oppois(100, 2.5, lower.tail = FALSE)Sampling Question 31 (1 point) To assess students' views regarding the importance of conducting empirical studies in the Capstone course, the department divided students into three arbitrary groups: (i) those who did not take the capstone course vet, (ii) those who are currently taking the capstone course. (iii) those who completed the capstone course. A random sample was selected from each group and views were obtained by an on- line survey. This method of sampling is likely to be: 0 Unbiased. because views have been obtained by an on-line survey. 0 Unbiased. because it is an example of stratified random sampling. 0 Biased. because the technical knowledge of the students are different 0 Biased, because these three groups are different in character. Question 34 (1 point) Samples of size 150 are selected from a population with mean 40 and standard deviation 2. The mean of the sample is