/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 44 Researchers carried out a survey... [FREE SOLUTION] | 91影视

91影视

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.

Suppose we select one of these students at random. What鈥檚 the probability of each of the following?

a. The student is a sixth-grader or rated good grades as important.

b. The student is not a sixth-grader and did not rate good grades as important.

Short Answer

Expert verified

Part a. Probability,

P(6thgradeorGrades)0.6985

Part b. Probability,

P(Not6thgraderandnoGrades)0.3015

Step by step solution

01

Part a. Step 1. Given information

Survey data:

02

Part a. Step 2. Explanation

Look at the bottom right corner of the table,

There are 335students in total.

Thus,

The number of possible outcomes is 335.

Also,

For the student who are rated good grades or 6th grader,

Add up all the values in column 鈥淕rades鈥 and row 鈥6th grade鈥, we will get 234in total.

Thus,

The number of favorable outcomes is 234.

Now,

The number of favorable outcomes divided by the number of possible outcomes gives the probability.

P(6thgradeorgrades)=NumberoffavorableoutcomesNumberofpossibleoutcomes=234335=0.6985

03

Part b. Step 1. Explanation

Look at the bottom right corner of the table,

There are 335students in total.

Thus,

The number of possible outcomes is 335.

Also,

For the student who did not rate good grades and not a 6th grader as well,

Add up all the values of 4th and 5th grades in the columns 鈥淎thletic鈥 and 鈥淧opular鈥, we will get 101in total.

Thus,

The number of favorable outcomes is 101.

Now,

The number of favorable outcomes divided by the number of possible outcomes gives the probability.

P(Not6thgraderandnogrades)=NumberoffavorableoutcomesNumberofpossibleoutcomes=1013350.3015

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 91影视!

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

Suppose a loaded die has the following probability model:

If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1?

a. 0.10

b. 0.17

c. 0.30

d. 0.50

e. 0.60

Which one of the following is true about the events 鈥淥wner has a Chevy鈥 and

鈥淥wner鈥檚 truck has four-wheel drive鈥?

a. These two events are mutually exclusive and independent.

b. These two events are mutually exclusive, but not independent.

c. These two events are not mutually exclusive, but they are independent.

d. These two events are neither mutually exclusive nor independent.

e. These two events are mutually exclusive, but we do not have enough information to determine if they are independent.

Lefties A website claims that 10%of U.S. adults are left-handed. A researcher believes that this figure is too low. She decides to test this claim by taking a random sample of 20U.S. adults and recording how many are left-handed. Four of the adults in the sample are left-handed. Does this result give convincing evidence that the website鈥檚 10%claim is too low? To find out, we want to perform a simulation to estimate the probability of getting 4or more left-handed people in a random sample of size 20from a very large population in which 10%of the people are left-handed.

Let 00to 09indicate left-handed and 10to 99 represent right-handed. Move left to Page Number: 311right across a row in Table D. Each pair of digits represents one person. Keep going until you get20 different pairs of digits. Record how many people in the simulated sample are left-handed. Repeat this process many, many times. Find the proportion of trials in which4 or more people in the simulated sample were left-handed.

Union and intersection Suppose C and D are two events such that P(C)=0.6, P(D)=0.45, and

P(C 鈭 D)=0.75. Find P(C 鈭 D).

Who鈥檚 paying? Abigail, Bobby, Carlos, DeAnna, and Emily go to the bagel shop for lunch every Thursday. Each time, they randomly pick 2of the group to pay for lunch by drawing names from a hat.

a. Give a probability model for this chance process.

b. Find the probability that Carlos or DeAnna (or both) ends up paying for lunch.

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.