(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks...
(1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 16 board members: 12 females, and 4 males including Carl. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. (1) Find the probability that both males and females are given a task. (2) Find the probability that Carl and at least one female are given...
Rework problem 23 from section 2.4 of your text involving congressional committees. Assume that the committee consists of 6 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?
Rework problem 21 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 11 board members: 7 females, and 4 males including Tom. There are 2 tasks to be assigned randomly, including that of reserving a room for meetings. There is at most one task per person. (1) Find the probability that Tom is given a task. equation editorEquation Editor (2) Find the probability that Tom is given the task...
Rework problem 25 from section 3.2 of your text, involving choosing freshmen, sophomores, and juniors. For this problem, assume that three students are chosen from 4 freshmen, 7 sophomores, and 3 juniors. What is the probability of selecting 2 freshmen and 1 junior given that at least one freshman will be selected?
Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one of three bowls. Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of the selected bowl and note its color. The bowls contain the following colored balls: Bowl X: 3 red, 2 white, and 1 blue. Bowl Y: 2 red, 1 white, and 2 blue. Bowl Z: 2 red, 1 white,...
(1 point) Solve the following problem, similar to problem 4 from section 2.4 of your text. You select 5 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards (i.e. jacks, queens, or kings)? - (1 point) Rework problem 19 from section 2.4 of your text, involving the selection of frozen dinners. Assume that there are 14 frozen dinners: 6 pasta, 5 chicken, and 3 seafood dinners. The student...
Rework problem 21 from section 3.3 of your text, involving the selection of colored balls from two bags. Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 2 red, 2 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color. (1) What...
Rework problem 18 from section 4.3 of your text, involving the expected number of putts made in a golf tournament. Assume that the golfer makes 70 percent of putts when they are less than 10 feet and 30 percent of putts when they are 10 feet or longer. The golfer takes 27 putts from less than 10 feet and 74 putts from 10 feet or longer during the tournament. How many putts can the golfer expect to make during the...
Rework problem 31 from section 1.3 of your text, involving graduates of Gigantic State University. Assume that 300 students are surveyed with the following results: 155 live in the west. 131 live in a large city. 157 are married. 71 live in the west in a large city. 68 are married and live in a large city. 85 are married and live in the west. 41 are married and live in a large city in the west. How many are...
(1 point) Rework problem 18 from section 3.3 of your text, involving filling in missing probabilities on a tree diagram. Construct a copy of figure 3.11 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2,3) (only 1 or 2 in the case of outcome C). Use the following probabilities instead of those given in your text: 12 12 12 12 Find the following missing probabilities (1) Pr[A...