. The Fellowship of the Ring had a collection of 9 individuals from various races (Hobbits, Elves, Men, Dwarves] in Middle Earth. Let X be the number of men in a random group of 2 members. Below is the probability distribution for X. #111211 0 1 2 . What is the probability two men form the group? Justify your response and interpret the result. . Compute the expected number of men in the group and interpret. . Past data indicate 62.8% of all Coruscant residents agreed with the decision by the Galactic Senate to grant the chancellor his emergency powers during the Separatist Crisis. . In a randomly selected group of 25 residents, what is the likelith at least 14 agreed with the decision? . In a randomly selected group of 40 students, what is the probability less than 22 agreed with the decision? . In a randomly selected group of 23 residents, what is the likelihood from 13 to 22 agreed with the decision? . How many residents in a random group of 32 residents do we expect agreed with the decision? Interpret the result. . A lab rat is set loose in a maze that allows the rodent to exit through a 6inch doorway. When no food reward is provided at the end, the point at which the rat exits the maze is uniformly distributed on the interval from 0 to 6 as measured from the left side of the doorway. . Sketch the density curve for the distribution of exit locations. Be sure to label appropriately. . What is the probability the rat exits between 1.25 inches and 3.85 inches from the left side of the doorway? . The administration at State U wants to make textbook scholarships available for those most in need. Assume the average household income of a student follows a normal distribution with a mean of $81,275 and a standard deviation of $14,186. The college wants to limit the scholarship to the neediest 4% of students. . On what interval do we nd the middle ?0% of household incomes? . What is the cuto' to qualify for the scholarship