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Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a) How many different groups of 5 problems can be chosen from the 12 problems? (b) Probability Extension Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?

Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a) How many different groups of 5 problems can be chosen from the 12 problems? (b) Probability Extension Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer number 26. Make sure to show work!! Do all parts! Thx!
12. Counting: Outcomes You toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) (b) There are three even numbers on each die. How many outcomes are pos- sible with even numbers appearing on each die? (c) Probability Extension What is the probability that both dice will show an even number? 13. | Compute P5.2 14. | Compute P 15. | Compute P 16. Compute P 21. 9,9* 17. | Compute C5.2² 18. | Compute C8.3. 19. | Compute C₁.7 20. | Compute C8 Counting: Hiring There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nurs- ing supervisor, and position 3 is the nursing coordinator position. There are 15 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. 22. Counting: Lottery In the Cash Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize win- ners will be drawn. The first prize is $1 million, the second prize is $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) 23. Counting: Sports The University of Montana ski team has five entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? 24. Counting: Sales During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software pack- ages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? 25. Counting: Hiring There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of trainees can be selected? 26. Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a) How many different groups of 5 problems can be chosen from the 12 problems? (b) Probability Extension Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?
Transcribed Image Text:12. Counting: Outcomes You toss a pair of dice. (a) Determine the number of possible pairs of outcomes. (Recall that there are six possible outcomes for each die.) (b) There are three even numbers on each die. How many outcomes are pos- sible with even numbers appearing on each die? (c) Probability Extension What is the probability that both dice will show an even number? 13. | Compute P5.2 14. | Compute P 15. | Compute P 16. Compute P 21. 9,9* 17. | Compute C5.2² 18. | Compute C8.3. 19. | Compute C₁.7 20. | Compute C8 Counting: Hiring There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor, position 2 is the night nurs- ing supervisor, and position 3 is the nursing coordinator position. There are 15 candidates qualified for all three of the positions. Determine the number of different ways the positions can be filled by these applicants. 22. Counting: Lottery In the Cash Now lottery game there are 10 finalists who submitted entry tickets on time. From these 10 tickets, three grand prize win- ners will be drawn. The first prize is $1 million, the second prize is $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) 23. Counting: Sports The University of Montana ski team has five entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? 24. Counting: Sales During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software pack- ages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? 25. Counting: Hiring There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How many different groups of trainees can be selected? 26. Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a) How many different groups of 5 problems can be chosen from the 12 problems? (b) Probability Extension Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?
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