Question: There are A, B, and C types of problem set, and each type of problem set contains 3000, 2000, 5000 problems, respectively. Suppose you can

There are A, B, and C types of problem set, and each type of problem set contains 3000, 2000, 5000 problems, respectively. Suppose you can solve A-type problem with 90% probability, B-type problem with 20% probability, and C-type problem with 60% probability. To pass graduation exam, you must solve both of two questions randomly chosen from the total problem set (out of 10,000 problems). Answer the following questions:

1) What is the probability that you pass the graduation exam?

2) What is the probability that you have solved one or more A-type questions when you passed the exam?

Step by Step Solution

★★★★★

3.32 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To tackle the problem lets break it down into manageable parts and calculate each required probability step by step Step 1 Calculate the Total Number ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Amounts to be received by a partner during liquidation. A condensed balance sheet for a partnership to be liquidated is as follows: The profit and loss percentages for Partners A, B, and C are 50%,...

A sampling of political candidates-200 randomly chosen from the West and 200 from the East-was classified according to whether the candidate received backing by a national labor union and whether the...

Three prisoners, A, B, and C, are locked in their cells. It is common knowledge that one of them is to be executed the next day and the others are to be pardoned. Only the Governor knows which one...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

PowerPoint Assignment for BUS 401: Principles of Finance You have been asked by a manager in your organization to put together a training program explaining Net Present Value (NPV) and Future Value...

See page 129- 137 on attachment for more details there are five steps to the project. Step 1: Create the loan amortization schedule for the property. Step 2: Create the depreciation schedule. Step 3:...

Due Sunday, 11/20: Problems from Zimmerman text: 2-11, 2-44, Case 2-3, 7-7, and 7-20 Chapter Two The Nature of Costs Chapter Outline A. Opportunity Costs 1. Characteristics of Opportunity Costs 2....

UNIT 5 QZ, Q-20 UNIT 5 / UNIT 8 QUESTIONS KEEP ANSWERS SEPARATE BY UNITS UNIT II STUDY GUIDE Consumer Mathematics Reading Assignment See information below. Key Terms 1. Add-on interest method 2....

Needing ANSWERS ASAP! Starting at pg 34 - Labeled Graded Project 06155200: Graded Project Instructions & Worksheets 1 Lesson 1: Business, Accounting, and You PROJECT GOAL The goal of this graded...

You helped me a couple of weeks ago. I was wondering if i could setup a time for tomorrow that you could be available to help me with some questions. I will pay $20 per question. They are short and I...

Discuss the role of the project manager in the in-house development of a customized application, and in what situations both IS and business managers might serve as coleaders of a project.

Define antiderivative and Indefinite integrals. Find the following indefinite integrals i) S dx ii) S cos 3t sin3t dt V1-e-2x

Determine whether the equation is exact. If it is , then solve it . e t ( 3 y - 7 t ) d t ( 2 3 e t ) d y = 0

21. Determine the mass in grams of each of the following: (a) 0.600 mol of oxygen atoms (b) 0.600 mol of oxygen molecules, O2 (c) 0.600 mol of ozone molecules, O3

List the key concepts of the ATC Modernization Plan.

The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 125-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A by...

Assume that your group of team members, drawn from multiple departments, and that it is struggling to deliver promised deadlines within budget. Team tension grows, because people are frustrated and...

Hello ther, I need help with my finance case study (Ramsey Co. Case study). Please see the attachments for details and instructions. Thanks, Ramsey Inc. 2013 Purchase Order Register March 1, 2013 -...

1.Is there a relationship between a student's Language Arts Scaled Score (cstlass) and a student's Math Scaled Score (cstmss)? id 11:213141516171819/10i1 1:12:13:14:15/16/17/18prtcorrproflviproftxt...

A researcher at a marketing firm examines whether the age of a consumer matters when buying athletic clothing. Her initial feeling is that Brand A attracts a younger customer, whereas the more...

1. Research has shown that the relationship between eye contact and deception a. is nonexistent b. is positive in that eye contact increases as the level of deception rises c. is negative in that eye...

A. Sales Records 1. Format the sales records dataset as a table. Make sure the table columns are wide enough to fit the column contents. 2. Sort the sales records by Region first in a custom order of...

The introduction provides a succinct summary of all of the following: the management issue the focus of the three journal articles the three recommendations A comprehensive explanation of a single...