Solve using R Studio (programming software) and round off to 4 decimal places if the answer is not exact

Question 1 10 pts (a) The acetone level of individuals in a study is said to follow a Normal distribution with a mean 870 and a standard deviation of 211 ppb. i. Find the probability that on a given day, the individual's acetone level is A under 500 ppb B. over 900 ppb. C. between 600 and 1000 pph. il. Calculate the 70th percentile of the acetone level in ppb. ili Calculate the probability that exactly 3 individuals in the sample of size 10 will have acetone level less than 500 ppb iv. Calculate the probability that at least 8 individuals in the sample of size 10 will have acetons level greater than 500 ppb. (b) Given a binomial distribution for X within 100 and p 2 0.5! calculate PIX > 57) using Binomial distribution il. calculate PIX > 571using Normal approximation. (c) Given a Poisson distribution for X with