Employment data at a large company reveal that 60% of the workers are married, 18% are college graduates, and one third of the college grads are married. What is the probability that a randomly chosen worker is a) Married or a college graduate? b) Married but not a college graduate? c) Neither married nor a college graduate?

Employment data at a large company reveal that 60% of the workers are married, 18% are college graduates, and one third of the college grads are married. What is the probability that a randomly chosen worker is a) Married or a college graduate? b) Married but not a college graduate? c) Neither married nor a college graduate?

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...

See similar textbooks

Similar questions

Approximately 3% of women aged 45 - 60 have breast cancer. A woman with breast cancer has a 97% chance of a positive test from a mammogram, while a woman without breast cancer has a 22% chance of a positive result. a) What is the probability that a woman does not have breast cancer and tests positive? b) What is the probability of a randomly selected woman having a positive test result? c) If a woman gets a negative test result, what is the probability that she does not have breast cancer? **Note: Answer in exact fraction, or rounded to at least 4 decimal places.
At an electronic device service center 15 devices have just been received. Five cell phones, five laptops, and five tablets. Suppose these items are randomly assigned the numbers 1, 2,…, 15 in order to establish the order in which they will be repaired. The probability that cell phones are in the top ten to be repaired is
Eight of the 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective?
A survey of athletes at a high school is conducted, and the following facts are discovered: 40% of the athletes are football players, 37% are basketball players, and 8% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? % (Please enter your answer as a percent)
You work for a large global management consulting company. Of the entire workforce of analyst, 29% have had no experience in the telecommunications industry, 36% have had limited experience (less than five years), and the rest have had extensive experience (five years or more). You are assigned to be part of a team of three analyst of a global management consulting company. What is the probability that of your other two teammates a) Neither has any telecommunications experience? b) Both have some telecommunications experience? c) At least one has had extensive telecommunications experience
A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service. a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service? b) What percent of customers subscribe to neither the Internet service nor the phone service?
Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? No, this probability is not unusual because it is more than 0.05. Yes, this probability is unusual because it is more than 0.05. No, this probability is not unusual because it is within 2 standard deviations of the mean. Yes, this probability is unusual because it is not within 2 standard deviations of the mean. No, this probability is not unusual because it is more than 0.01.
The survey by the National Center for Health Statistics further found that 49% of adults ages 25–29 had only a cell phone and no landline. We randomly select four 25–29-year-olds: a) What is the probability that all of these adults have a only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? c) What is the probability that at least one of these adults has only a cell phone and no landline?
Twenty five percent of the employees of a company have a bachelor's degree. Of those, 35% are in a supervisory position. Of those who do not have a bachelor's degree, 18% are in a supervisory position. What is the probability that a random selected employee is in a supervisoryposition? What is the probability that a randomly selected supervisor has a bachelor's degree?