Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Q 2.1. (page 305)

Make a two-way table that displays the sample space.

Short Answer

Expert verified

To determine if occurrences are independent and to approximate conditional probabilities, use the two-way table as a sample space.

Step by step solution

01

Step 1. Given Information  

Each object being categorized is assigned to one of two categories.

02

Step 2. Concept Used    

The chance that event A occurs can be calculated using the formula if all outcomes in the sample space are equally likely.

03

Step 3. Calculation 

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation. To determine if occurrences are independent and to approximate conditional probabilities, use the two-way table as a sample space. As an example: Collect information about your kids' favorite topics in math, science, and English from a random sample of students at your school. Calculate the likelihood that a randomly chosen kid is in tenth grade.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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 your outcome:

The probability of finding 3people in a household is the same as the probability of finding 4people. These probabilities are marked ??? in the table of the distribution. The probability that a household contains 3 people must be

(a) 0.68(b) 0.32(c) 0.16(d) 0.08(e) between 0 and1, and we can say no more.

Blood types All human blood can be typed as one of O,A,B,or AB,but the distribution of the types varies a bit with race. Here is the distribution of the blood type of a randomly chosen black American: Blood type: OABABProbability: 0.490.270.20?

(a) What is the probability of type AB blood? Why?

(b) What is the probability that the person chosen does not have type ABblood?

(c) Maria has type Bblood. She can safely receive blood transfusions from people with blood types Oand BWhat is the probability that a randomly chosen black American can donate blood to Maria?

Teens online We saw in an earlier example (page 319) that 93% of teenagers are online and that 55% of online teens have posted a profile on a social-networking site. Of online teens with a profile, 76% have placed comments on a friend’s blog. What percent of all teens are online, have a profile, and comment on a friend’s blog? Show your work.

Teachers and college degrees Select an adult at random. Define events A: a person has earned a college degree, and T: person’s career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(A)P(T)P(A|T)P(T|A)

Sampling senators Refer to Exercise 67. Are events D and F independent? Justify your answer.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free