Six undergraduates sit in a row of seats in class in a random order. Three of...
Six undergraduates sit in a row of seats in class in a random order. Three of them are math majors and the other three are computer science majors. Compute the following probabilities: (a) the probability that the three math majors sit in three adjacent seats, and that the same is true for the CS majors; (b) the probability that the three math majors sit in three adjacent seats; (c) the probability that no two adjacent seats are occupied by students of the same major.
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Six undergraduates sit in a row of seats in class in a random
order. Three of...
In a class of 25 students, 4 are math majors, 6 are computer science majors, and...
In a class of 25 students, 4 are math majors, 6 are computer science majors, and the rest are creepy wizards. A group of four students are chosen at random. (Leave your answers as fractions or round to four decimal places. Either is fine.) What is the probability that no creepy wizards are chosen? What is the probability that the group has exactly one math major, two computer science majors and one creepy wizard?
Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (a) the...
Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (a) the number of ways the following event can occur, and (b) the probability of the event. (The denominator of the probability fraction will be 6 exclamation mark equals 720 , the total number of ways to arrange six items.) Each man will sit immediately to the right of a woman. A) There are [blank] ways the given event can occur. B) The probability the given...
In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors,...
In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors, 10 are civil engineers and the rest are general engineering majors.Assume students only have one major If a student is chosen at random what is the probability they are: Round your answers to 3 decimal places a clvil engineering major? o8 a civil engineering major or mechanical engineering major?496 a general engineering major? 280 not a computer science major? 776 Suppose six students from...
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...
A study of undergraduate computer science students examined changes in major after the first year. The...
A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The explanatory variables included several high...
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...
1. A State issues car license plates with three letters followed by three numbers (for example,...
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
A State issues car license plates with three letters followed by three numbers (for example, FGH831...
A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. List all...
Writing 3 Java Classes for Student registration /** * A class which maintains basic information about...
Writing 3 Java Classes for Student registration /** * A class which maintains basic information about an academic course. */ public class Course { /** * Attributes. */ private String code; private String title; private String dept; // name of department offering the course private int credits; /** * Constructor. */ public Course(String code, String title, int credits) { // TODO : initialize instance variables, use the static method defined in // Registrar to initialize the dept name variable...
i need help on question 3 to 22 please. Midterm ex review. MATH 101 Use the...
i need help on question 3 to 22 please.
Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...
In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors, 10 are civil engineers and the rest are general engineering majors.Assume students only have one major If a student is chosen at random what is the probability they are: Round your answers to 3 decimal places a clvil engineering major? o8 a civil engineering major or mechanical engineering major?496 a general engineering major? 280 not a computer science major? 776 Suppose six students from...
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...
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...
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
i need help on question 3 to 22 please.
Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...
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