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DISCRETE MATH
Determine whether the statements in (a) and (b) are logically equivalent. a. Bob is a double math and computer science major and Ann is a math major, but Ann is not a double math and computer science major. b. It is not the case that both Bob and Ann are double math and computer science majors, but it is the case that Ann is a math major and Bob is a double math and computer science major.
PROBABILITY
Fifty-two percent of the students at a certain college are females. Five percent of the students in this college are majoring in computer science. Two percent of the students are women majoring in computer science. If a student is selected at random, find the conditional probability that (a) the student is female given that the student is majoring in computer science; (b) this student is majoring in computer science given that the student is female.
PROBABILITY
Fifty-two percent of the students at a certain college are females. Five percent of the students in this college are majoring in computer science. Two percent of the students are women majoring in computer science. If a student is selected at random, find the conditional probability that (a) this student is female, given that the student is majoring in computer science; (b) this student is majoring in computer science, given that the student is female.
COMPUTER SCIENCE
True/False: Computer science is the study of computers.
DISCRETE MATH
Use the Inclusion-Exclusion Principle for three finite sets to solve the problem. Among a group of 165 students, 8 are taking calculus, psychology, and computer science; 33 are taking calculus and computer science; 20 are taking calculus and psychology; 24 are taking psychology and computer science; 79 are taking calculus; 83 are taking psychology; and 63 taking computer science. How many are taking none of the three subjects?
BIOLOGY
Which of the following sciences is not considered a natural science? a. biology, b. astronomy, c. physics, d. computer science.
DISCRETE MATH
There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) In how many ways can one representative be picked who is either a mathematics major or a computer science major?
DISCRETE MATH
Let D be the set of all students at your school, and let M(s) be “s is a math major,” let C(s) be “s is a computer science student,” and let E(s) be “s is an engineering student.” Express each of the following statements using quantifiers, variables, and the predicates M(s),C(s), and E(s). a. There is an engineering student who is a math major. b. Every computer science student is an engineering student. c. No computer science students are engineering students. d. Some computer science students are also math majors. e. Some computer science students are engineering students and some are not.
DISCRETE MATH
In a group of students, each student is taking a mathematics course or a computer science course or both. One-fifth of those taking a mathematics course are also taking a computer science course, and one-eighth of those taking a computer science course are also taking a mathematics course. Are more than one-third of the students taking a mathematics course?
ALGEBRA
According to the Bureau of Labor and Statistics, approximately 65,000,000 women were employed in the United States in 2004. a. The number of women in the computer science fields times 26 is the number of working women. Write an equation to represent the number of women employed in the computer sciences in 2004. Then solve the equation. b. The number of women in natural science fields is 2,266,000 less than the number of women in computer science fields. How many women are in natural science fields?
COMPUTER SCIENCE
Consider the following subsets of the set of all students: A = set of all computer science majors, B = set of all physics majors, C = set of all science majors, D = set of all female students. Using set operations, describe each of the following sets in terms of A, B, C, and D: a. set of all students not majoring in science b. set of all female physics majors c. set of all students majoring in both computer science and physics d. set of all male computer science majors
DISCRETE MATH
A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors, 2 computer science majors who are juniors, and 1 computer science major who is a senior. Express each of these statements in terms of quantifiers and then determine its truth value. a) There is a student in the class who is a junior. b) Every student in the class is a computer science major. c) There is a student in the class who is neither a mathematics major nor a junior. d) Every student in the class is either a sophomore or a computer science major. e) There is a major such that there is a student in the class in every year of study with that major.
COMPUTER SCIENCE
Write a program that displays Welcome to Java, Welcome to Computer Science, and Programming is fun.
DISCRETE MATH
Refer to a set of five distinct computer science books, three distinct mathematics books, and two distinct art books. In how many ways can these books be arranged on a shelf if all five computer science books are on the left?
DISCRETE MATH
Write the statements symbolic form using the symbols $$ \sim , \vee $$ , and $$ \wedge $$ and the indicated letters to represent component statements. Juan is a math major but not a computer science major, (m="Juan is a math major," c="Juan is a computer science major")
COMPUTER SCIENCE
Consider the following subsets of the set of all students: $$ \begin{array}{l} A = \text{set of all computer science majors}\\ B = \text{set of all physics majors}\\ C = \text{set of all science majors}\\ D = \text{set of all female students} \end{array} $$ Using set operations, describe each of the following sets in terms of A, B, C, and D: a. set of all male students who are not physics majors b. set of all science majors who are not computer science majors c. set of all students who are female or science majors d. set of all students who are science majors but are neither computer science nor physics majors
DISCRETE MATH
Refer to a set of five distinct computer science books, three distinct mathematics books, and two distinct art books. In how many ways can these books be arranged on a shelf if all five computer science books are on the left and both are books are on the right?
DISCRETE MATH
Find the symmetric difference of the set of computer science majors at a school and the set of mathematics majors at this school.
DISCRETE MATH
Formulate the symbolic expression in words using p: Lee takes computer science. q: Lee takes mathematics. p$\wedge$q
DISCRETE MATH
Formulate the symbolic expression in words using p: Lee takes computer science. q: Lee takes mathematics. p$\vee$q
DISCRETE MATH
Formulate the symbolic expression in words using p: Lee takes computer science. q: Lee takes mathematics. $\neg$p
DISCRETE MATH
Every student in a discrete mathematics class is either a computer science or a mathematics major or is a joint major in these two subjects. How many students are in the class if there are 38 computer science majors (including joint majors), 23 mathematics majors (including joint majors), and 7 joint majors?
PROBABILITY
As a group, students majoring in the engineering disciplines have the highest salary expectations, followed by those studying the computer science fields, according to results of NACE's 2010 Student Survey. To compare the starting salaries of college graduates majoring in engineering and computer science, random samples of 50 recent college graduates in each major were selected and the following information obtained: Engineering Major: Mean 56202 and SD 2225 Computer Science Major: Mean 50657 and SD 2375 a. Find a point estimate for the difference in the average starting salaries of college students majoring in engineering and computer science. What is the margin of error for your estimate? b. Based upon the results in part a, do you think that there is a significant difference in the average starting salaries for engineers and computer scientists? Explain.
DISCRETE MATH
Formulate the symbolic expression in words using p: Lee takes computer science. q: Lee takes mathematics. p$\wedge\neg$q
DISCRETE MATH
Formulate the symbolic expression in words using p: Lee takes computer science. q: Lee takes mathematics. p$\vee\neg$q