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The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 5: Q. 27 (page 313)

Ten percent of U.S. households contain $5$ or more people. You want to simulate choosing a household at random and recording “Yes” if it contains $5$ or more people. Which of these is a correct assignment of digits for this simulation?
a. $O d d = Y e s; E v e n = N o$
b. $0 = Y e s; 1 - 9 = N o$
c. $0 - 5 = Y e s; 6 - 9 = N o$
d. $0 - 4 = Y e s; 5 - 9 = N o$
e. None of these

Short Answer

Expert verified

The correct answer is option b $0 = Y e s; 1 - 9 = N o$

Step by step solution

01

Given Information

We have been that ten percent of U.S. households contain $5$ or more people.

02

Explanation.

Since in option b, ten single digits are considered and $0$ is considered as yes and rest $1 - 9$ are considered as no, which results in a probability of $10 %$ .

Hence, option b $0 = Y e s; 1 - 9 = N o$ is the correct answer.

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Most popular questions from this chapter

Crawl before you walk (At what age do babies learn to crawl? Does it take

longer to learn in the winter, when babies are often bundled in clothes that restrict their

movement? Perhaps there might even be an association between babies’ crawling age and

the average temperature during the month they first try to crawl (around $6$ months after

birth). Data were collected from parents who brought their babies to the University of

Denver Infant Study Center to participate in one of a number of studies. Parents reported

the birth month and the age at which their child was first able to creep or crawl a distance

of $4$ feet within one minute. Information was obtained on $414$ infants $(208 b o y s a n d 206 g i r l s)$ . Crawling age is given in weeks, and average temperature (in degrees Fahrenheit) is

given for the month that is $6$ months after the birth month.

a. Make an appropriate graph to display the relationship between average temperature and

average crawling age. Describe what you see.

Some computer output from a least-squares regression analysis of the data is shown.

b. What is the equation of the least-squares regression line that describes the relationship

between average temperature and average crawling age? Define any variables that you

use.

c. Interpret the slope of the regression line.

d. Can we conclude that warmer temperatures $6$ months after babies are born causes them

to crawl sooner? Justify your answer.

If I toss a fair coin five times and the outcomes are $TTTTT$ , then the probability that tails appear on the next toss is

a. $0.5$ .

b. less than $0.5$ .

c. greater than $0.5$ .

d. $0$ .

e. $1$ .

Education among young adults Choose a young adult (aged $25$ to $29$ ) at random. The probability is $0.13$ that the person chosen did not complete high school, $0.29$ that the person has a high school diploma but no further education, and $0.30$ that the person has at least a bachelor’s degree.

a. What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor’s degree? Why?

b. Find the probability that the young adult completed high school. Which probability rule did you use to find the answer?

c. Find the probability that the young adult has further education beyond high school. Which probability rule did you use to find the answer?

Cell phonesThe Pew Research Center asked a random sample of $2024$ adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random. What’s the probability that:

a. The person is not age $18$ to $34$ and does not own an iPhone?

b. The person is age $18$ to $34$ or owns an iPhone?

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.

Find P(athletic | $5^{t h}$ grade).
Use your answer from part (a) to help determine if the events “ $5^{t h}$ grade” and “athletic” are independent.

See all solutions

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