Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Interpreting Weather While this exercise was being created, Weather.com indicated that there was a 60% chance of rain for the author’s home region. Based on that report, which of the following is the most reasonable interpretation?

a. 60% of the author’s region will get rain today.

b. In the author’s region, it will rain for 60% of the day.

c. There is a 0.60 probability that it will rain somewhere in the author’s region at some point during the day.

Short Answer

Expert verified

Part (c) is the correct interpretation.

Step by step solution

01

Given information

It is given that there is a 60% chance of rain in the author’s home region.

02

Define the term probability

Theprobability of an eventis the value that explains how likely the event can occur. The measured value is between 0 and 1.

03

Choose the correct option and state the reason

It is given that there is a 60% chance of rain for the author’s region.

The author’s region is an area where the author lives. It may rain at a specific time of the day and in a particular area (if not the entire region).

In simple words, it means that considering any time of the day, the probability that it might rain is equal to 0.6.

Thus, option (c) is correct.

04

Explanation of wrong options

(a)

60% chance of rain for a region does not reflect that 60% of the region will receive rainfall. It represents the odds of receiving rainfall any time of the day.

Thus, option (a) is incorrect.

(b)

The given value does not indicate that it will rain for 60% of the day; instead, it means there is a 60% chance it might rain that for any given time of the day. Thus, option (b) is incorrect.

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

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

Testing If you make a random guess for the answer to a true/false test question, there is a 50–50 chance of being correct.

In Exercises 17–20, refer to the accompanying table showing results from a Chembio test for hepatitis C among HIV-infected patients (based on data from a variety of sources).

Positive Test Result

Negative Test Result

Hepatitis C

335

10

No Hepatitis C

2

1153

Positive Predictive Value Find the positive predictive value for the test. That is, find the probability that a subject has hepatitis C, given that the test yields a positive result. Does the result make the test appear to be effective?

Surge Protectors Refer to the accompanying figure showing surge protectors p and q used to protect an expensive television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.985 probability of working correctly when a voltage surge occurs.

a. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? (Do not round the answer.)

b. If the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television? (Do not round the answer.)

c. Which arrangement should be used for better protection?

Probability Rewrite the following statement so that the likelihood of rain is expressed as a value between 0 and 1: “The probability of rain today is 25%.”

Composite Water Samples The Fairfield County Department of Public Health tests water for the presence of E. coli (Escherichia coli) bacteria. To reduce laboratory costs, water samples from 10 public swimming areas are combined for one test, and further testing is done only if the combined sample tests positive. Based on past results, there is a 0.005 probability of finding E. coli bacteria in a public swimming area. Find the probability that a combined sample from 10 public swimming areas will reveal the presence of E. coli bacteria. Is that probability low enough so that further testing of the individual samples is rarely necessary?

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