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11. Suppose a class of 8 boys and 7 girls are to attend a theatrical performance,...
A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls...
A class has 12 boys and 18 girls. The teacher selects 3 boys and 3 girls to act has representatives to the student government. How many different ways can the teacher select the 6 students? In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?
1) In a certain class of students, there are 11 boys from Wilmette, 6 girls from...
1) In a certain class of students, there are 11 boys from Wilmette, 6 girls from Winnetka, 7 1) girls from Wilmette, 4 boys from Glencoe, 2 boys from Winnetka and 9 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy?
In class A, there are 8 boys and 16 girls who all want to join a...
In class A, there are 8 boys and 16 girls who all want to join a quiz show, whereas in class B there are 10 boys and 10 girls. A student is randomly chosen from class A and put into class B, and a student is then randomly selected from class B. a) the probability that the student selected from class B is a boy is b) the conditional probability that the transferred student was boy, given that a boy...
A class has 12 boys and 18 girls. The teacher selects 3 boy and 3 girl...
A class has 12 boys and 18 girls. The teacher selects 3 boy and 3 girl to act as representatives to the student government. How many ways can the teacher select the 6 students? Can u please answer this using a permutation
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
9. (4) A math class has 7 girls and 5 boys in the ninth grade and...
9. (4) A math class has 7 girls and 5 boys in the ninth grade and 5 girls and 5 boys in the tenth grade. Jessica Hathaway, the teacher randomly selects a ninth grader and a tenth grader from the class for a competition at the Pi-Byte Club. What is the probability the students she selects are both boys? Write your answer as a fraction in simplest form.
discrete math do all please 2. Six people attend the theater together and sit in a...
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
3.3 Counting Techniques and Probabality 81 1. Compute 8C2. 2 ! 2. Suppose 2 scholarships, $1000...
3.3 Counting Techniques and Probabality 81 1. Compute 8C2. 2 ! 2. Suppose 2 scholarships, $1000 each, is to be given to 2 students. There 3. Suppose 2 scholarships, one for $2000 and another for $1000, will be are 9 applicants. How many choices of 2 awardees are possible? given to 2 students. There are 9 applicants. How many choices of 2 awardees are possible? 4. In an annual sports meet, 9 students compete in 2 events (the 100 meter...
discrete math 1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of...
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
2. Suppose that you wish to estimate the effect of class attendance on college students' performance: final-A + β1ACT + β2att end + β3GPA+ u where ACT is the student's ACT score, attend is th...
2. Suppose that you wish to estimate the effect of class attendance on college students' performance: final-A + β1ACT + β2att end + β3GPA+ u where ACT is the student's ACT score, attend is the fraction of classes attended over the semester, and GPA is the student's GPA (a) Why might attend be correlated with u? (b) Let dist be the distance from the student's living quarters to the lecture hall. If living quarters are assigned by lottery, will dist...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
9. (4) A math class has 7 girls and 5 boys in the ninth grade and 5 girls and 5 boys in the tenth grade. Jessica Hathaway, the teacher randomly selects a ninth grader and a tenth grader from the class for a competition at the Pi-Byte Club. What is the probability the students she selects are both boys? Write your answer as a fraction in simplest form.
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
3.3 Counting Techniques and Probabality 81 1. Compute 8C2. 2 ! 2. Suppose 2 scholarships, $1000 each, is to be given to 2 students. There 3. Suppose 2 scholarships, one for $2000 and another for $1000, will be are 9 applicants. How many choices of 2 awardees are possible? given to 2 students. There are 9 applicants. How many choices of 2 awardees are possible? 4. In an annual sports meet, 9 students compete in 2 events (the 100 meter...
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
2. Suppose that you wish to estimate the effect of class attendance on college students' performance: final-A + β1ACT + β2att end + β3GPA+ u where ACT is the student's ACT score, attend is the fraction of classes attended over the semester, and GPA is the student's GPA (a) Why might attend be correlated with u? (b) Let dist be the distance from the student's living quarters to the lecture hall. If living quarters are assigned by lottery, will dist...
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