3:52 7 LTE A cccti.mrooms.net Problem 3 (15 Points) Many of you ride the Appalcart to campus (Boone's mode of public transportation). For those of you that do ride the bus, you must have also noticed that it is frequently not where it should be when it should be there. The representations below are representative of a random selection of the number of minutes that a given Appalcart bus is behind schedule. Appalcart Tardiness (in minutes) 10 20 30 40 Appalcart Tardiness Descriptive Statistics Total Variable Count Mean StDev Minimum Q1 Median Q3 Appalcart Tardiness 62 9. 367 8 . 309 0 . 000 3. 800 7.00 13 . 650 Variable Maximum IQR Appalcart Tardiness 36 . 000 9. 850 (a) What is the time that breaks this data set into an upper half and a lower half? (b) What is the time that separates the data set into the top 75% and the lower 25%? (c) How many total observations were included in my sample? (d) What is the general shape of the distribution? Explain what statistics you used to determine the shape. (e) Does this data set display any outliers? If so, estimate the value of the outlier(s). Problem 4 (21 Points) Use the probability distribution to answer the following questions. X 2 3 4 5 6 P(x) .17 .19 .21 .28 .15 (a) P(x = 4)