/*! 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 Middle school values Researchers... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 44 (page 327)

Middle school values 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

a. The probability that the student is a sixth 鈭 grader or rated good grades as important is0.6985

b. The probability that the student is not a sixth 鈭 grader and did no rate good grades as important is 0.3015

Step by step solution

01

Part (a) Step 1 : Given Information

We have to determine the probability that the student is a sixth 鈭 grader or rated good grades as important.

02

Part (a) Step 2 : Simplification

Take a look at the table's bottom right corner.
In total, 335students are enrolled.
Thus,
There are 335different outcomes to choose from.
Also,
For students who have received good grades or are in the sixth grade,
We'll obtain 234total if we add all the values in column "Grades" and row "6thgrade."
Thus,
There are a total of 234positive outcomes.
Now,
The probability is calculated by dividing the number of favourable outcomes by the total number of possible possibilities.

P(6th鈥grade鈥or鈥Grades)=Number鈥of鈥favourable鈥outcomesNumber鈥of鈥possible鈥outcomes鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=234335鈥鈥鈮0.6985

03

Part (b) Step 1 : Given Information

We have to determine the probability that the student is not a sixth 鈭 grader and did no rate good grades as important.

04

Part (b) Step 2 : Simplification

Take a look at the table's bottom right corner.
In total, 335students are enrolled.
Thus,
There are 335different outcomes to choose from.
Also,
For the pupil who did not have good grades and was not in sixth grade,
We'll get 101if we add all the values from the 4thand 5thgrades in the columns "Athletic" and "Popular."
Thus,
The total number of positive outcomes is 101.
Now,
The probability is calculated by dividing the number of favourable outcomes by the total number of possible possibilities.

P(Not鈥6th鈥grader鈥and鈥no鈥Grades)=Number鈥of鈥favourable鈥outcomesNumber鈥of鈥possible鈥outcomes鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥鈥=101335鈥鈥鈥鈥鈮0.3015

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

Rock smashes scissors Almost everyone has played the game rock-paper-scissors at some point. Two players face each other and, at the count of 3, make a fist (rock), an extended hand, palm side down (paper), or a 鈥淰鈥 with the index and middle fingers (scissors). The winner is determined by these rules: rock smashes scissors; paper covers rock; and scissors cut paper. If both players choose the same object, then the game is a tie. Suppose that Player 1and Player 2 are both equally likely to choose rock, paper, or scissors. a. Give a probability model for this chance process. b. Find the probability that Player 1wins the game on the first throw .

Due to a hit A very good professional baseball player gets a hit about 35% of the time

over an entire season. After the player failed to hit safely in six straight at-bats, a TV

As one commentator said, 鈥淗e is due for a hit.鈥 Explain why the commentator is wrong.

If a player rolls a 2,3,or12, it is called craps. What is the probability of getting craps or an even sum on one roll of the dice?

a. 4/36

b. 18/36

c. 20/36

d. 22/36

e. 32/36

The dotplot displays the number of made shots in 100simulated sets of 50free throw by someone with probability 0.56of making a free throw.

Which of the following is an appropriate statement about Wilt鈥檚 free-throw shooting

based on this dotplot?

a. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about0.03.

b. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about 0.97..

c. If Wilt is now shooting better than 56%, the probability that he would make at least 34of his shots is about 0.03.

d. If Wilt is now shooting better than56%, the probability that he would make at least 34of his shots is about0.97.

e. If Wilt were still only a 56%shooter, the probability that he would make at least 34of his shots is about 0.01.

BMI (2.2, 5.2, 5.3) Your body mass index (BMI) is your weight in kilograms divided by

the square of your height in meters. Online BMI calculators allow you to enter weight in

pounds and height in inches. High BMI is a common but controversial indicator of being

overweight or obese. A study by the National Center for Health Statistics found that the

BMI of American young women (ages 20 to 29) is approximately Normally distributed

with mean 26.8 and standard deviation 7.4.

27

a. People with BMI less than 18.5 are often classed as 鈥渦nderweight.鈥 What percent of

young women are underweight by this criterion?

b. Suppose we select two American young women in this age group at random. Find the

probability that at least one of them is classified as underweight.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

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.