The table provides a breakdown of 96,000 single parents on active duty in different branches of a country's military in a certain year. All numbers are given in thousands and rounded to the nearest thousand. The table helps in calculating the probability that a randomly selected single parent serving in the military is either in the Air Force or the Marine Corps.### Table Data:| | Army | Navy | Marine Corps | Air Force | Total ||----------|------|------|--------------|-----------|-------|| Male | 23 | 24 | 6 | 16 | 69 || Female | 10 | 8 | 2 | 7 | 27 || **Total**| 33 | 32 | 8 | 23 | 96 |### Explanation:- **Army**: 23,000 males and 10,000 females (Total: 33,000)- **Navy**: 24,000 males and 8,000 females (Total: 32,000)- **Marine Corps**: 6,000 males and 2,000 females (Total: 8,000)- **Air Force**: 16,000 males and 7,000 females (Total: 23,000)- **Overall Total**: 69,000 males and 27,000 females (Total: 96,000)To calculate the probability that a randomly selected single parent in the military is in the Air Force or the Marine Corps, add the totals for the Air Force and Marine Corps, then divide by the overall total.\[ \text{Probability} = \frac{8 + 23}{96} = \frac{31}{96} \]This calculates to approximately 0.323 (rounded to the nearest thousandth).The probability that a randomly selected single parent in the military is in the Air Force or the Marine Corps is **0.323**.

The probability that a randomly selected single parent in the military is in the Air Force or the…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.
The following table gives the number of fatal work injuries categorized by cause from 2015 in a certain country. Cause Number of Fatalities Transportation accidents 2765 Assaults and violent acts 746 Contacts with objects and equipment 727 Falls 800 424 102 20 Exposure to harmful substances or environments Fires and explosions Other Find the probability that a randomly chosen work fatality had the following cause. Assaults and violent acts There were a total of fatal work injuries.
A survey of U.S. adults ages 18-29 found that 92% use the internet. You randomly select 100 adults ages 18-29 and ask them if they use the internet. The probability that at least 86 people say they use the internet is [ ].
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The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. E Click the icon to view the data on business degrees. ..... (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business degrees Nonbusiness degrees Total Male 199,313 600,822 800,135 1,065,757 1,865,892 Female 177,694 888,063 Total 377,007 1,488,885 Print Done
A certain math conference has 9495 attendees. Of these individuals, 6047 are college professors, and 4174 are female. Of the college professors, 3218 are female. What is the probability that a randomly selected attendee is female or a college professor? Answers should be decimals (not percentages) correct to three decimal places.
Naval intelligence reports that 66 enemy vessels in a fleet of 22 are carrying nuclear weapons. If 99 vessels are randomly targeted and destroyed, what is the probability that at least 55 vessels transporting nuclear weapons were destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.
Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What is the probability that they are overweight? What is the probability that they are obese and diabetic? What proportion of the diabetics are obese? What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 Not Diabetic 12 85 93 40 Column Totals
In a recent survey, it was found that the median income of families in country A was $58,000. What is the probability that a randomly selected family has an income greater than $58,000? ..... What is the probability that a randomly selected family has an income greater than $58,000? (Type an integer or a decimal.)
A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table. Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?
In a recent survey, it was found that the median income of families in country A was $57,800. What is the probability that a randomly selected family has an income less than $57,800? ..... What is the probability that a randomly selected family has an income less than $57,800? (Type an integer or a decimal.)
2) The probability that a randomly selected student is female given that the student received a business degree, is

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