4. 5. In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of these subjects. Find the probability that a randomly selected student: (a) studies Mathematics given that he or she studies Physics, and (b) does not study Physics given that he or she studies Mathematics. In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine 3 make 30%, 45% and 25% respectively of the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 32

4. 5. In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5 study none of these subjects. Find the probability that a randomly selected student: (a) studies Mathematics given that he or she studies Physics, and (b) does not study Physics given that he or she studies Mathematics. In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine 3 make 30%, 45% and 25% respectively of the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 32

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: A hospital needs to purchase 3 gallons of perishable medicine for use during the current month and 4…

A: Answer is given below .

Q: A service station has both self-service and full-service islands. On each island, there is a single…

A: a) P(X = 1 and Y = 1) is the probability where X = 1 and Y = 1. From table it can be seen that it…

Q: Q5/ An urn contains 10 white, 5 yellow, and 10 black marbles. A marble is chosen at random from the…

A: Solution :

Q: Consider a maximization problem that is being solved by Simulated Annealing. Let the objective…

A: To calculate the probability of selecting each successor state in the Simulated Annealing algorithm,…

Q: Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible,…

A: Part (a): Calculate P(X=7) and P(X≤7)This problem involves a hypergeometric distribution because you…

Q: Each of 15 refrigerators of a certain type has been returned to a distributor because of an audible,…

A: The problem is a statistical one, dealing with the concept of hypergeometric distribution. The…

Q: A furniture factory makes wooden tables, chairs, and armoires. Each piece of furniture requires…

A: do ratio calc for 1

Q: A hardware store will run an advertising campaign using radio and newspaper. Every dollar spent on…

A: Given, Radio advertising Under $40000 market people = 80/$ Over $40,000 market…

Q: At the beginning of each year, a firm observes its asset position (call it d) and may invest any…

A: I have mentioned answer in word based images,please check below steps

Q: ul Verizon 2:09 PM © 31% O Chapter 9 and 10... Q Chapters 9 & 10 Assignment 1. A coffee machine…

Q: At the beginning of the first day (day 1) after grape harvesting is completed, a grape grower has…

A: As per our guidelines, we are supposed to answer only 1st three parts. Kindly repost the remaining…

Q: In simulated annealing the probability of accepting a worse move is a function of both the…

A: In simulated annealing the probability of accepting a worse move is a function of both the…

Q: f. A company has 7 distinct job positions and 11 qualified candidates. The company wants to fill all…

A: Below are the solutions for given questions:

Q: Problem#6 6.10 A set of final examination grades in an introductory statistics course is normally…

A: We have to explain the code and also we have to write a code for the given instruction in R…

Question

4.
5.
In a group of 100 students, 90 study Mathematics, 80 study Physics, and 5
study none of these subjects. Find the probability that a randomly selected
student: (a) studies Mathematics given that he or she studies Physics, and (b)
does not study Physics given that he or she studies Mathematics.
In a certain assembly plant, three machines, Machine 1, Machine 2 and Machine
3 make 30%, 45% and 25% respectively of the products. It is known from the
quality control data collected from the past that 2%, 3% and 2% of the products
made by each machine respectively, are defective. If a product is chosen
randomly chosen and found to be defective, what is the probability that it is
made by Machine 3?
6.
5 people are to be chosen at random from 5 men and 4 women to form a team.
Find the probability that the team contains
(i)
(ii)
3 men and 2 women,
at least 3 men.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Portfolio manager Max Gaines needs to develop an investment portfolio for his clients who are willing to accept a moderate amount of risk. His task is to determine the proportion of the portfolio to invest in each of the five mutual funds listed below so that the portfolio maximizes the expected return but provides an annual return of no less than 3%. for each of the following scenarios. Annual Returns (Planning Scenarios): mutual fund yr 1 yr 2 yr 3 yr 4 international stock 22.37 26.73 6.46 -3.19 low-cap blend 14.88 18.61 10.52 5.25 mid-cap blend 19.45 18.04 5.91 -1.94 small-cap blend 13.79 11.33 -2.07 6.85 intermediate bond 7.29 8.05 9.18 3.92 Formulate the appropriate linear program for this situation. (state the objective function, the decision variables, and the constraints)
There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.
The cold medicine Dozenol lists 600 mg of acetaminophen per fluid ounce as an active ingredient. The Food and Drug Administration would like to make sure that Dozenol contains the correct amount. Assume that the amount of acetaminophen per fluid ounce is normally distributed with standard deviation 21 mg. They test 65 one-ounce samples of the medicine and finds that the mean amount of acetaminophen for the sample is 589 mg. Does this give them sufficient evidence that Dozenol contains the correct amount of acetaminophen?
. Employees of a certain firm are paid on hourly basis at the end of each week. If an employee works up to 40hrs, the employee is paid 6 GHS and 7 GHS per hour for a male and female respectively. If an employee works for more than 50 hours then the employee is also paid 2.5 the corresponding regular rate for hours worked in excess of 40. All employees are to pay 10 % of their gross as INCOME TAX and 2.5% towards the NHIS. If an employee has more than 3 children then he or she pays 2 cedis per child in excess of three towards GETFUND. Write a C++ program that can print onto screen the Net Salary of any staff onto screen. NB (NETSALARY is equal to gross salary less all deductions (VAT, NHIS, GETFUND). Write a C++ program and draw a flow chart for a software solution that can solve for the problem above.
Sam is a competitive swimmer that competes in the 100 m freestyle and 100 m backstroke. High school swimming state averages are as follows: Freestyle: mean time 72.39 seconds, standard deviation 3.7 seconds Backstroke: mean time 81.09 seconds, standard deviation 4.1 seconds If Sam's times were 71.1 seconds in freestyle and 80.1 seconds in backstroke, select the correct words to describe how his times compare to each other. Since the z-score in freestyle is ["", ""] than the z-score in backstroke, his time in freestyle is ["", ""] when compared to the rest of the swimmers in that event.
7. If an email message has a probability of 0.2 being spam, and containing word "Hi", and an email message has a probability of 0.3 containing word "Hi", furthermore, an email message has a probability of 0.4 containing the word "Hi" given that it is spam, which of the following statement(s) is/are true?- (i) (ii) The probability that an email message is spam is 0.5- The probability that an email message is spam given that it contains the word "Hi" is 0.8 (ii) The probability that an email message is spam given that it contains the word "Hi" is 2/3e (iv) The probability that an email message is spam is 0.6- (a) (1). (ii)- (b) (1), (iii) (c) (iv), (ii)e (d) (iv), (iii) (e) None of the above 8. Which of the following statement(s) on data preparation of data analytics project lifecycle is/are TRUE?« (i) Data conditioning involves data visualization tools to gain an overview of the data. (11) Data conditioning involves cleaning data, normalizing datasets, and performing transformations.…
World Series odds Consider two teams, A and B, playing a series of games until one of the teams wins n games. Assume that the probability ofA winning a game is the same for each game and equal to p, and the probability of A losing a game is q = 1− p. (Hence, there are no ties.) Let P(i, j) be the probability of A winning the series if A needs i more games to win the series and B needs j more games to win the series. a. Set up a recurrence relation for P(i, j) that can be used by a dynamic programming algorithm. b. Find the probability of team A winning a seven-game series if the proba-bility of it winning a game is 0.4. c. Write pseudocode of the dynamic programming algorithm for solving this problem and determine its time and space efficiencies.
upper lim. Problem 13, A Quiz game has 2 questions. The problem is: which question to attempt first. If the first question is answered correctly then the second question can be attempted. If the first answer is wrong, the game stops. Question 1 will be answered correctly with probability 0.8 with a prize of $100. Question 2 will be answered correctly with probability 0.5 with a prize of $200. Let Y = the amount of money won if Question 1 is attempted first Let Z= the amount of money won if Question 2 is attempted first a) Write the probability distribution of Y b) Find E[Y] c) Write the probability distribution of Z d) Find E[Z] e) Which is greater, E[Y] or E[Z]? Bonus f) Assume we choose the first question at random. If the probability of picking Question 1 is 0.4, find E[X], where X Total amount of money won in the game. %3D