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 25 from section 3.2 of your text, involving choosing freshmen, sophomores, and juniors. For...
9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors. a) In how many ways can a group of 6 students be selected from this group? b) If the study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different groups are possible? c) What is the probability that a group of 6 students will consist of 2 freshmen, 3...
(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...
Suppose a class is made up of 5 Freshman, 3 Sophomores, and 7 Juniors. If a group of 4 students is randomly selected from the class, find the probability that the group contains 3 Freshman and 1 Junior.
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?
(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...
SHOW WORK 3. A CPR class contains 10 Freshmen, 10 Sophomores, 5 Juniors and 25 Seniors. Given the Mean score for each grade level, calculate the Weighted Mean score for the entire class Freshman: 72%; Sophomores:94%; Juniors 56%, Seniors-90% Class Mean: 4. Determine whether the implied probability is Classical (Mathematical), Empirical or Subjective: a) That you roll a '5' when tossing a pair of dice b) That Donald Trump gets to appoint at least two Supreme Court Justices c) The...
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 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) This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 25 percent sophomores, 20 percent juniors, and 15 percent seniors. Assume further that 55 percent of the freshmen, 40 percent of the sophomores, 25 percent of the uniors, and 30 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that 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...