9.) Constructing a test: A teacher is constructing a mathematics test consisting of 10 questions. She has a poor o"28 questions, which are classified by level of difficulty as follows: 6 difficult questions, 10 average questions, and12 easy questions. How many different 10-question tests can she construct from a pool of 28 questions if hertest is to have 3 difficult , 4 average and 3 easy questions?

Answered: Image /qna-images/answer/9aa8a605-ae7f-4c42-96b9-4dd75cc6f61c.jpg

Answered: 9.) Constructing a test: A teacher is…

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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2) Sheila scored 75, 80, 100, 60, and 85 on her last five history tests. She has a final exam that will count as two exams. What score must Shiela obtain on this final exam in order to earn the grade of B? the grading scale for B is 80-89.
At a restaurant 48 people were asked in a survey if they eat meat, fish, or both. Of those adults 10 only eat meat, 14 only eat fish, and 17 eat both.How many people eat meat? How many do not eat meat? How many people eat fish? How many do not eat fish? How many do not eat either one?
To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 127 students ate breakfast.183 students ate lunch.272 students ate dinner.60 students ate breakfast and lunch.111 students ate breakfast and dinner.90 students ate lunch and dinner.53 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students(b) Exactly one meal in the cafeteria? students(c) Only dinner in the cafeteria? students(d) Exactly two meals in the cafeteria? students
Jasmine’s current grades in Algebra I are the following. Jasmine’s grades: Grading System: Tests: 56, 72, 76, and 88 Quizzes: 66, 80, 71, 94 Assignments: 75% Final Exam: 86% Tests: 40% Quizzes: 25% Assignments: 10% Final Exam: 25% a. What is Jasmine’s current grade in the class? b. If she scores 10 points higher on the final exam, what would her new average be in the class?
A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions? Select one: O a. 12750 O b. 11340 O c. 320 O d. 40
Of the 58 students in a mathematics class, 22 are taking French, 24 are taking German, and 7 are taking both French and German. How many students in the mathematics class are taking neither French nor German? nothing students
Toward the end of a game of Scrabble you hold the letters D,O,G and Q. You can choose three of these four letters and arrange them in order in how many different ways?
We survey 200 students, and ask each whether they like donuts, pizza, and/or tacos. Every student liked at least one of them. - 100 students liked donuts - 80 students liked pizza - 100 students liked tacos - 10 students liked all three options How many students liked exactly two of the options? Type your answer.
Isabel has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Isabel has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel timnes (in minutes) for the sixteen trips. Travel times in minutes 10 Freeway 71, 68, 72, 72, 73, 71, 66, 76 60 Freeway 67, 75, 69, 75, 75, 81, 71, 72 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that u,, the mean travel time via the 10 freeway, is different from u,, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your…
The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for first place to $5000. Par for the course is 70. The tournament consists of four rounds played on different days. The scores for each round of the 32 players who placed in the money (more than $17,000) are given. The scores for the first round were as follows. 71 65 67 73 74 73 70 75 71 72 71 75 75 71 71 72 72 73 71 67 66 75 75 75 71 The scores for the fourth round for these players were as follows. 69 69 73 73 73 74 72 72 70 71 71 72 71 71 71 71 69 70 72 74 72 71 68 69 70 69 71 73 74 1 2 3 4 (a) Make a stem-and-leaf display for the first-round scores. Use two lines per stem. (Enter your answers from smallest to largest separated by spaces. Enter NONE for stems with no leaves.) First-Round Scores X X X X 5 6 7 8 71 71 74 73 71 74 75 NONE NONE NONE NONE 70 NONE 72 73 (b) Make a stem-and-leaf display for the fourth-round scores. Use two lines per stem. (Enter…
Latoya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Latoya has recorded the travel times for samples of nine trips via the 10 Freeway and nine trips via the 60 Freeway. The following table gives the travel times (in minutes) for the eighteen trips. Travel times in minutes 10 Freeway 71, 70, 69, 67, 71, 67, 70, 71, 77 60 Freeway 76, 74, 78, 78, 68, 73, 75, 72, 72 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean travel time via the 10 freeway, is different from μ2, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round…

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