1) Short answers: a. (1 point) What percent of data is greater than 13th percentile? b. (1 point) If the mean, median, and mode for a data set are all the same, what can you conclude about the data’s distribution? c. (1 point) If the mean is greater than the mode and median for a data set, what can you conclude about the data’s distribution? d. (1 point) Mean of 3 numbers is 12. Two of them are 15 and 20. What is the third number? e. (2 points) What is the relationship between variance and standard deviation? f. (1 point) You scored in the 55th percentile on the GRE. If 8,000 people took the GRE, how many people had a score at least as high as your score? 2) (16 points) Use the data that is given in the following stem plot and answer questions “a” to “c” 1, 3, 2, 2, 3, 1, 2, 2, 3, 1, 0, 2, 3, 2, 0, 1, 4, 5, 7, 9, 7, 11, 13, 16, 19, 20 a. find the mode, median, mean and standard deviation for this data set (6 points) b. Find Q1 and Q3 and represent this data using a box plot (5 point) c. Is there any outlier in this data? (3 points) d. What is the 40th percentile? (2 point) 3) (8 points) Use the data given in the following table and answer the questions. Assume that we select one person at random from the following people with different hiking routs. a) Find the probability of selecting one person who hikes near Lakes and streams. (2 point) b) What is the probability of selecting a male who hikes on mountain peaks? (2 points) c) What is the probability of selecting a person who hikes “Near Lakes and Streams” and hikes on the “Coastline”? (2 points) d) What is the probability of selecting a person who is hiking “On mountain Peaks” given that the selected person is female? (2 points) 4) (5 points) An insurance company is setting out their policy for the next year. The chance that a customer (on average) survives another year is 0.96. The policy is sold for $85 per month for the entire year ($85*12 per year). If the customer does not survive another year, company will pay $200,000 to the beneficiaries. What is the expected value of profit/loss for this company? 5) (10 points) The distribution of the time patients are released from special care room follows a normal distribution with the mean value of 14 hours and standard deviation of 90 minutes. a. What is the probability that a patient is released after 12 hours? (2 points) b. What portion of patients are normally released between 13 to 15 hours? (3 points) c. Calculate the range of time for which 95% of patients are released from the special care room. (2 points) d. Find the time it takes 70% of patients to be released from the special care. (3 marks)

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