A college student is looking to transfer to two universities andwants to major in STEM but the student has not picked amajor. The following are the two majors offered by the twouniversities that the student is interested in:University AUniversity BMathematicsMathematicsCivil EngineeringPhysicsElectrical EngineeringComputer SciencePhysicsChemistryMechanical EngineeringStatisticsWhat majors are offered by both universities (A intersection B)? StatisticsWhat majors are offered by both universities (A intersection B)?MathematicsPhysicsCivil EngineeringElectrical EngineeringMechanical EngineeringStatisticsComputer ScienceChemistry

Solution This question is based on the set theory and the majors offered by both universities is the…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For Section1 of the course, homework is assigned, collected and graded each week. In Section2, students are not required to turn in homework. At the end of the semester, the students are given the same final exam. In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D. In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D. Is there an association between assigning homework and exam grade? Test at the alpha = 0.05 level. a. We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade. b. We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam…
Helen and her three roommates live in a two-bedroom apartment at the University of Texas at El Paso. Each has a different major (one woman is majoring in chemistry). Coincidentally, each woman has a different hair color (one is blonde). Determine each woman’s full name, hair color, and major. Joan, who isn’t Ms. Bonds, doesn’t have either of the two darker hair colors (black or brown), and neither does Irene. Glory doesn’t share a room with Ms. Carlson or the accounting major. Glory’s major isn’t physics. The physics major has brown hair. Daniels hair is neither red nor black. Bonds, whose first name is not Glory, is majoring in English. Alder and Helen are both majoring in a science and often take classes together.
You are given the chance to play one of two games: One where there is a 20% chance of you winning 8 dollars and an 80% chance of winning 128 dollars. For the second game you have a 20% chance of winning two dollars and an 80% chance of winning 256 dollars. Which lottery is worth more on average, and how much is it worth discrete math
A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the body, hind legs and tail of horse. It is very similar to another magical creature, the Griffin, with the horse rear replacing the lion rear. A slightly different breed of Hippogriffs, living in the Rathlin Island-the northernmost point in Northern Ireland, has an initial population of No. From that initial population count, it grew to 705 individuals after 28 years. After 28 more years, the population of hippogriffs in Rathlin Island rose to 2764 individuals. If the carrying capacity of Rathlin Island for this particular specie is 3000 individuals, and calculate for the initial population and the growth rate constant of the said species.
Certain app allows you to order from different types of cuisine. According with the app's records 23% of the orders are to an American food restaurant, 38% to an Asian food restaurant, 17% to a Mexican food restaurant, 6% to a Dessert place, and the rest are to other types of restaurants. Assume that incoming orders are independent of each other.
Part 4: Suppose that 53 of the 55 Computer Science students of San Sebastian College, Manila are taking at least one of the mathematics subjects Algebra, Trigonometry and Calculus. See the figure below for more details: 24 taking Algebra, 26 taking Trigonometry, 20 taking Calculus, 5 taking Algebra and Trigonometry, 7 taking Algebra and Calculus, 8 taking Trigonometry and Calculus. a. Find the number of students who are taking all three mäthematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?
John, Jim, Jack and Joe have formed a band consisting of 4 instruments (drums, piano, guitar, flute). If John, Jim and Jack can play all 4 instruments, but Joe can play only drums, piano and guitar, how many different arrangements are possible? What if John can play all four instruments, Jim can play drums, flute and piano and Jack and Joe can each play only piano and guitar?
A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations)
In your Statistics class, your final grade is based on four categories. The categories are tests, labs, assignments, and a final exam. Suppose you earned the following grades in each of the categories; 65% on tests, 71% on labs, 69% on assignments, and 41% on the final exam. If tests are worth 13%, labs are worth 6%, assignments are worth 6%, and the final exam is worth 75%, determine your final grade in the course. Record the grade below as a percentage accurate to two decimal places. Final Grade: Check Answer pe here to search ※一 F11 F1 F3 F4 F5 F6 F7 F8 F9 F10 #3 %24 6 7 8 R T Y U S G J K C VB M この (7 134 DI
A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80

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