the three courses.the numbers, we see they sum to 156. This means there are 165-156-9 students not taking any of1.Part 2: Calculating ProbabilitiesQuestionsProblem StatementThe local college had 578 new students register for courses this semester. Many of the students enrolled into oneor more courses from the humanities, science, business, or math departments as shown in the Venn Diagramhere.a.Humanitiesb.Businesse.4718Problem 2372215221831927764050Based on the current data, what department has the highest probability of "new student enrollment?"Give your answers as a fraction in lowest terms.ScienceWhat is the probability a new student enrolls into a humanities course?What is the probability a new student enrolls into a science course?C.What is the probability a new student enrolls into a math course?d. What is the probability a new student enrolls into a business course?Which of the four departments has the highest probability of "new student enrollment?"Math

Answered: Image /qna-images/answer/5d006f5a-8c2f-4ed0-acb5-080318039db1.jpg

Answered: Part 2: Calculating Probabilities 1.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters?
A sample of 200 college undergraduates was collected and the student’s gender and method of getting to class that day were collected. The data appears below. Gender Drive Bike Walk Total Male 95 10 10 115 Female 65 5 15 85 Total 160 15 25 200 What proportion of the students are both female and ride a bike to class?
1.On an assignment, there are two true or false questions. You have no idea what the correct answer is to either one so you guess. What is the probability that you get both of them right by guessing? Flag question: Question 4 Question 42 pts Six papers are placed in a bag with names written on them. The names are: John, Jacob, Jingle, Heidi, Merida, and Smith. If one name is chosen at random, what is the probability that it has the letter “n” in it? Group of answer choices Flag question: Question 5 Question 52 pts In the spinner, sector B intercepts an arc measuring 45°. What is the probability of the spinner landing on the section labeled B? Express your answer as a decimal between 0 and 1. Round to three decimal place.
Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Grade 10 11 12 Award category Highest Honors 36 32 30 Academic Excellence 44 43 40 TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award. 3. Compare P(TEN|HH) and P(HH|TEN). Interpret what your answer means. 4. Are TEN and HH independent? Explain your reasoning and what your answer means.
Each person in a representative sample of 449 college students age 18 to 24 was classified according to age and to the response to the following question: "How often have you used a credit card to buy items knowing you wouldn't have money to pay the bill when it arrived?" Possible responses were never, rarely, sometimes, or frequently. The responses are summarized in the table. Age 18 to 20 Age 21 to 22 Age 23 to 24 Never 73 62 29 Rarely 38 34 32 Sometimes 30 42 40 Frequently 13 24 A USE SALT Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. O H: The proportions falling into each of the three age groups are not the same for all four responses to the question. H: The proportions falling into each of the three age groups are the same for all four responses to the question. O Hg: The proportions falling into each of the three age…
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