/*! 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} Problem 3 Consider the variable \(x=\) ear... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 3

Consider the variable \(x=\) earthquake insurance status for the population of homeowners in an earthquake-prone California county. This variable associates a category (insured or not insured) with each individual in the population. a. Construct a relative frequency bar chart that represents the population distribution for \(x\) for the case where \(60 \%\) of the county homeowners have earthquake insurance. b. If an individual is randomly selected from this population, what is the probability that the selected homeowner does not have earthquake insurance?

Short Answer

Expert verified
The probability that a randomly selected homeowner does not have earthquake insurance is 0.4 or 40%.

Step by step solution

01

Construct a Relative Frequency Bar Chart

From the given information, it can be observed that 60% of the homeowners are insured against earthquakes. This means the other 40% are not insured. So, the relative frequency of insured homeowners is 0.6 and for not insured homeowners is 0.4. The relative frequency bar chart can be constructed with these values, with the categories 'insured' and 'not insured' on the x-axis and relative frequency on the y-axis.
02

Probability Calculation

The probability of an event occurring is equal to the relative frequency of that event in the population. Here, one individual is randomly selected. The event is this individual not having earthquake insurance. Since the relative frequency of 'not insured' homeowners in the population is 0.4 or 40%, the probability that the selected homeowner does not have earthquake insurance is the same i.e., 0.4.
03

Interpretation and Conclusion

The relative frequency bar chart visually represents the distribution of homeowners based on earthquake insurance status. This makes it easier to understand the proportions of insured versus not insured homeowners. From the probability calculation, it's understood that if an individual homeowner is randomly selected, there's a 40% chance that they do not have earthquake insurance.

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

Consider the following sample of 25 observations on the diameter \(x\) (in centimeters) of a disk used in a certain system. \(\begin{array}{lllllll}16.01 & 16.08 & 16.13 & 15.94 & 16.05 & 16.27 & 15.89 \\ 15.84 & 15.95 & 16.10 & 15.92 & 16.04 & 15.82 & 16.15 \\ 16.06 & 15.66 & 15.78 & 15.99 & 16.29 & 16.15 & 16.19 \\ 16.22 & 16.07 & 16.13 & 16.11 & & & \end{array}\) The 13 largest normal scores for a sample of size 25 are \(1.965,1.524,1.263,1.067,0.905,0.764,0.637,0.519\) \(0.409,0.303,0.200,0.100\), and \(0 .\) The 12 smallest scores result from placing a negative sign in front of each of the given nonzero scores. Construct a normal probability plot. Does it appear plausible that disk diameter is normally distributed? Explain.

Let \(z\) denote a variable that has a standard normal distribution. Determine the value \(z^{*}\) to satisfy the following conditions: a. \(P\left(zz^{*}\right)=.02\) e. \(P\left(z>z^{*}\right)=.01\) f. \(P\left(z>z^{*}\right.\) or \(\left.z<-z^{*}\right)=.20\)

The Wall Street Journal (February 15,1972 ) reported that General Electric was being sued in Texas for sex discrimination because of a minimum height requirement of \(5 \mathrm{ft} 7\) in. The suit claimed that this restriction eliminated more than \(94 \%\) of adult females from consideration. Let \(x\) represent the height of a randomly selected adult woman. Suppose that the probability distribution of \(x\) is approximately normal with mean 66 in. and standard deviation 2 in. a. Is the claim that \(94 \%\) of all women are shorter than \(5 \mathrm{ft}\) 7 in. correct? b. What proportion of adult women would be excluded from employment because of the height restriction?

Accurate labeling of packaged meat is difficult because of weight decrease resulting from moisture loss (defined as a percentage of the package's original net weight). Suppose that the normal distribution with mean value \(4.0 \%\) and standard deviation \(1.0 \%\) is a reasonable model for the variable \(x=\) moisture loss for a package of chicken breasts. (This model is suggested in the paper "Drained Weight Labeling for Meat and Poultry: An Economic Analysis of a Regulatory Proposal," Journal of Consumer Affairs \([1980]: 307-325 .)\) a. What is the probability that \(x\) is between \(3.0 \%\) and \(5.0 \%\) ? b. What is the probability that \(x\) is at most \(4.0 \%\) ? c. What is the probability that \(x\) is at least \(7 \%\) ? d. Describe the largest \(10 \%\) of the moisture loss distribution.

A certain basketball player makes \(70 \%\) of his free throws. Assume that results of successive free throws are independent of one another. At the end of a particular practice, the coach tells the player to begin shooting free throws and to stop only when he has made two consecutive shots. Let \(x\) denote the number of shots until the player can stop. Describe how you would carry out a simulation experiment to approximate the distribution of \(x\).
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Decision 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.