02 (25 points) The number of days the first 22 heart transplant patients at Stanford survived after their operation were: 3, 15, 20, 23, 26, 32, 32, 32, 46, 48, 48, 56, 64, 68, 69, 69, 70, 71, 71, 80, 85, 125 (a) Find the median. (b) Find the 90th percentile. (c) Find the first and the third quartile. (d) Is there any outlier in this data set? (e) Construct a box plot. Q4 (15 points) According to the Mendelian theory of inherited characteristics, a cross fertilization of related species of red- and white- flowered plants produces a generation whose offspring contain 25% red-flowered plants. Suppose that a horticulturist wishes to cross 7 pairs of the cross-fertilized species. Of the resulting 5 offspring, what is the probability that (a) Let X = the number of red- flowered plants. What is the probability distribution of X? (b) There will be no red-flowered plant. (c) There will be 4 or more red- flowered plants. (d) Find the expected value, variance and the standard deviation of X