According to the “Book of Odds,” the probability that a randomly selected U.S. adult usually eats breakfast is 0.61

(a) Explain what probability 0.61 means in this setting.

(b) Why doesn’t this probability say that if 100 U.S. adults are chosen at random, exactly 61of them usually eat breakfast?

Short Answer

Expert verified

Part (a) A large sample of U.S. adults about 61%eat breakfast.

Part (b) A randomly selected U.S. adult usually eats breakfast is0.61

Step by step solution

01

Part (a) Step 1. Given Information

Breakfast is normally eaten by0.61of a randomly picked adult in the United States.

02

Part (a) Step 2. Concept

The ratio of two positive integers with no common factor is known as odds. If A is the outcome of a sample space, then the odds are in A's favors.

03

Part (a) Step 3. Calculation

If A is the outcome of a sample space, then the odds are in A's favor.

=P(A)P(Ac)

That is P(A):P(Ac)

In this case, the chances likelihood of 0.61means

That is =0.61×100×100100

=61%

This means that a large sample of U.S. adult about 61% eat breakfast

04

Part (b) Step 1. Calculation

If A is the outcome of a sample space, then the odds are in A's favor.

=P(A)P(Ac)

That is P(A):P(Ac)

The books of odds probability 0.61 means in this setting

That is =0.61×100×100100

=61%

Although it this expect around 61adults will eat breakfast the exact number will differ from sample to sample.

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.

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

Going pro Only 5%of male high school basketball, baseball, and football players go on to play at the college level. Of these, only1.7% enter major league professional sports. About 40% of the athletes who compete in college and then reach the pros have a career of more than3 years.16 What is the probability that a high school athlete who plays basketball, baseball, or football competes in college and then goes on to have a pro career of more than 3 years? Show your work.

Nickels falling over You may feel it’s obvious that the probability of a head tossing a coin is about12because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this 25time, and record the results.

(a) What’s your estimate for the probability that the

coin falls heads up? Why?

(b) Explain how you could get an even better estimate.

Rolling dice Suppose you roll two fair, six-sided dice—one red and one green. Are the events “sum is 7” and “green die shows a 4” independent? Justify

your answer.

A Titanic disaster Refer to Exercise 64.

(a) Find P(survived | second class).

(b) Find P(survived).

(c) Use your answers to (a) and (b) to determine whether the events “survived” and “second class” are independent. Explain your reasoning.

Income tax returns Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns

in a recent year:

(a) What is the probability that a randomly chosen return shows an adjusted gross income of \(50,000 or more?

(b) Given that a return shows an income of at least \)50,000,what is the conditional probability that the income is at least $100,000?

See all solutions

Recommended explanations on Math Textbooks

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