Introduction to Applied Statistics

(a) Identify the following in terms of the above study. Be as specific as possible:(1) Experimental unit(2) Population(3) Sample(4) Variable - Classify as quantitative or qualitative.(b) Use R to find the 90th percentile for this data. Interpret this value.(c) Use the function “summary” in R to find the five-number summary. Interpret these values.(d) Find the interquartile range of the data and use it to identify potential outliers.(e) Use R to construct the histogram of the data. Comment on the distribution of the data.(f) Use R to construct the boxplot for this data. Comment on the distribution of the data.(g) Is it possible to construct a pie chart for this data? Why/Why not?(h) Find the z-scores for the highest and lowest exam scores. Interpret these values.Question 2. Assume that you want to choose exactly two out of three courses: STA, PHY, andBIO such that you choose SAT with probability 0.625, PHY with probability 0.625, and STA and PHYtogether with probability 0.25.(a) What is the probability that you choose BIO?(b) What is the probability that you chooses either STA or PHY?(c) What is the probability that you choose STA given that you chose PHY?Question 3. Assume you are taking two courses this semester (A and B). The probability that youwill pass course A is 0.835, the probability that you will pass both courses is 0.276. The probability thatyou will pass at least one of the courses is 0.981.(a) What is the probability that you will pass course B?(b) Are the events of passing the courses independent? Explain.(c) Are the events of passing the courses mutually exclusive? Explain.STA215- Instructor: Dr. Luai Al Labadi Page 3 of 4Note: Solve only ONE of the following two questions.Question 4. Suppose A and B are two events such that 0 < P(A) < 1 and 0 < P(B) < 1. Show thatif P(A|B) = P(A|Bc), then A and B are not mutually exclusive Read less