Show all work and steps! don't skip any steps.
Show all work and steps! don't skip any steps. 28. Polya's urn model supposes that an...
5. Polya's Urn +R • Begin with an urn containing W white balls and R red balls. Hence, N =W total balls. • Draw a random ball from the urn, check its color, and return it to the urn with another ball of the same color. • Now there are N + 1 balls in the urn. Draw 1 at random, check its color, and return it with another ball of the same color. . Now there are N +...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
Exercise 12.2 In Example 12.1b, find the optimal strategy and the op- timal value when the urn contains three red and four blue balls S. Example 12.1b An urn initially has n red and m blue balls. At each stage the player may randomly choose a ball from the urn; if the ball is red, then 1 is earned, and if it is blue, then 1 is lost. The chosen ball is discarded. At any time the player can decide...
1. Consider the following data: 18, 20, 25, 31, 32, 38, 39, 40, 43, 49, 51, 54, 65, 74 Use 4 classes. a. Class width : b. Complete the following table. ????? ?????? ????? − ????? Class Boundaries Midpoint Frequencies Relative Frequencies Cumulative Frequencies c. Draw a histogram. d. Draw a relative frequency histogram. e. Make a stem-and-leaf display. f. Find the interquartile range. g. Make a box-and-whisker plot. h. Determine the distribution shape. Please comment on all three plots....