Learning Materials
Features
Discover
Chapter 5: Q .80. (page 338)
Sampling students A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Reading the paper In a large business hotel, of guests read the Los Angeles Times. Only read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and record which of the two papers the person reads, if either. What’s the probability that the person reads the Los Angeles Times or the Wall Street Journal?
2Drive to exercise : The two-way table summarizes the responses of 120 people to a survey in which they were asked, “Do you exercise for at least 30 minutes four or more times per week?” and “What kind of vehicle do you drive?”
| Exercise | Sedan | SUV | Truck |
| Yes | |||
| No |
Suppose one person from this sample is randomly selected.
a. Find the probability that the person drives an SUV.
b. Find the probability that the person drives a sedan or exercises for at least 30 minutes four or more times per week.
c. Find the probability that the person does not drive a truck, given that she or he exercises for at least 30 minutes four or more times per week.
Grandkids Mr. Starnes and his wife have grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have extra tickets to a holiday show, and will randomly select which grandkids get to see the show with them.
a. Give a probability model for this chance process.
b. Find the probability that at least one of the two girls (Piper and Sedona) get to go to the show.
Notebook check Every weeks, Mr. Millar collects students' notebooks and checks their homework. He randomly selects different assignments to inspect for all of the students. Marino is one of the students in Mr. Millar's class. Marino completed homework assignments and did not complete assignments. He is surprised when Mr. Millar only selects assignment that he completed. Should he be surprised? To find out, we want to design a simulation to estimate the probability that Mr. Millar will randomly select or fewer of the homework assignments that Marino completed.
Get identical slips of paper. Write "" on 10 of the slips and "" on the remaining slips. Put the slips into a hat and mix well. Draw slip without looking to represent the first randomly selected homework assignment, and record whether Marino completed it. Put the slip back into the hat, mix again, and draw another slip representing the second randomly selected assignment. Record whether Marino completed this assignment. Repeat this process two more times for the third and fourth randomly selected homework assignments. Record the number out of the randomly selected homework assignments that Marino completed in this trial of the simulation. Perform many trials. Find the proportion of trials in which Mr. Millar randomly selects or fewer of the homework assignments that Marino completed.
Household size In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of people it contains. Here is the assignment of probabilities for the outcome. The probability of finding people in a household is the same as the probability of finding people.
a. What probability should replace “?” in the table? Why?
b. Find the probability that the chosen household contains more than people.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App