The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. It provides the data required to find the probability that a randomly selected Martian, aged 25 and over, has completed four years of high school only or is a male.### Table: Educational Attainment| | Years of High School | | Years of College | | ||----------------|----------------------|------------|------------------|------------|--------|| | Less than 4 | 4 only | Some (less than 4) | 4 or more | Total || Male | 12 | 24 | 20 | 18 | 74 || Female | 15 | 33 | 19 | 16 | 83 || Total | 27 | 57 | 39 | 34 | 157 |### Analysis1. **Columns and Rows:** - Columns represent years of education completed. - Rows represent the population divided by gender. 2. **Data Interpretation:** - Total number of males is 74. - Total number of females is 83. - Total population is 157.3. **Probability Calculation:** - We need to find the probability that a randomly selected individual is either a male or has completed four years of high school only. - The total number of individuals with four years of high school only is 57 (sum of 24 males and 33 females). - The number of males is already included in the total, which is 74. - Add the two, then subtract overlap (males who completed only four years of high school, already counted in both), so we have 74 + 57 - 24 = 107. - Total individuals is 157.Therefore, the probability is \( \frac{107}{157} \).

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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A B C Total Male 14 18 12 44 Female 6 3 8 17 Total 20 21 20 61 Find the probability that the student was male OR got an "A"
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
The 2010 census found that 13.9% of adults in the United States identified themselves as being of Hispanic origin. An opinion poll plans to interview 1500 adults at random. Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin. a. 0.017 O b.0.015 Oc.0.983 O d.0.013
Two fair dice are rolled. Event A = {the sum on the two dice is less than seven} Event B = {the two dice show the same number} Event C = {the numbers on the two dice differ by four} i. Find the probability of event A or event B occurring. ii. Find the probability of event A and event C occurring.
The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of selecting a person with blood type A+. Blood Type O + AB - A+ A- 34 Number 37 O A. 0.45 OB. 0.34 OC. 0.4 D. 0.68 O- 6 6 B + 10 B- 2 AB + 4 1
A die is rolled twice. What is the probability of getting two even numbers? a. 1/6 b. 1/32 c. 1/8 d. 1/4
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)
The following table represents the numbers of students in a section of Math 120 with declared or undeclared majors along with their class. What is the probability that a student who is a sophomore has a declared major? Enter your answer in decimal form and round to four decimal places if rounding is necessary.Probability that a student who is a sophomore has a declared major = Freshman (F) Sophomore (H) Junior (J) Total Declared (D) 114 28 4 146 Undeclared (U) 9 7 1 17 Total 123 35 5 163
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions,assume these values are not changing from year to year, and that the population of the United States is 312 millionpeople. Cause of Death in US Cause Number of deaths Passenger car occupant 13,100 Motorcycle driver 4,500 Tornado 553 Skydiving 56 What is the probability that you died as a passenger car occupant last year?
At a local company, 15% of the employees are women. Every day, 7% of the women bring their lunch to work, while only 3% of the men bring lunch. Find the probability that a randomly selected employee is a woman given that the person brings their lunch to work. A. 0.150 B. 0.011 C. 0.708 D. 0.292 E. 0.070

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