### Probability and Statistics: Analyzing Business Graduates Data#### IntroductionThe 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.#### Problem Statement(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.)#### Data TableThe data table below categorizes business graduates by their degree type and gender:##### Business Graduates| | Business degrees | Nonbusiness degrees | Total ||------------------|------------------|---------------------|----------|| **Male** | 191,262 | 621,964 | 813,226 || **Female** | 176,327 | 876,047 | 1,052,374|| **Total** | 367,589 | 1,498,011 | 1,865,600|---#### Explanation of Graphs/DiagramsThe table presented is divided into three main columns and four rows. It details the distribution of bachelor's degrees among business and nonbusiness graduates, separated by gender (male and female):1. **Columns**: - **Business degrees**: Number of students who received business degrees. - **Nonbusiness degrees**: Number of students who received degrees in fields other than business. - **Total**: Total number of students in each category (both business and nonbusiness degrees) and gender.2. **Rows**: - **Male**: Total number of male students in each degree category. - **Female**: Total number of female students in each degree category. - **Total**: Combined totals for male and female students in each degree category.#### InstructionsUtilize the data provided in the table to calculate the probability for part (a) of the problem statement. Remember to round your answer to three decimal places as needed.

The question is about conditional probabilityGiven :To find :a ) Prob. that a rand. selected student…

Answered: The accompanying table shows the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. 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.) (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 graduates Business degrees Nonbusiness degrees Total Male 192,167 616,454 808,621 1,056,907 1,865,528 Female 173,249 883,658 Total 365,416 1,500,112
The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. Click the icon to view the survey results. (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is (Round to three decimal places as needed.) Survey Results Contribute Do not contribute Total Male 105 145 250 Female 138 112 250 Total 243 257 500 Print Done
At a particular college 12 percent of the students major in Business. All Business majors are required to take a Statistics Course. Of the students not majoring in Business, 48 percent of them still have to take a Statistics Course. What is the probability that a student has to take a Statistics Course at this particular college? Type your anser as a decimal to 4 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.
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The probability that a certain PBA import can hit a three-point shot is 30%. What is the probability that he gets his 3rd three-point shot in the fifth try?
At a particular college 19 percent of the students major in business. All business majors are required to take a statistics course. Of the students not majoring in business, 31 percent of them still have to take a statistics course. What is the probability that a student has to take a statistics course at this particular college? Type your answer as a decimal to 4 decimal places.
The accompanying table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work. Complete parts (a) and (b) below. Click the icon to view the survey results. (a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work. The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is (Round to three decimal places as needed.)
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. EE 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.) (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.)
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Use the following table for the next two questions. The following data represent the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester. A student is selected at random. Find the probability of each event. Nursing majors 180 1010 1190 Males Females Totals 23. The student is a male or nursing majors? (a) 1.0222 (b) 0.6200 (c) 0.6101 (d) 0.5750 Non-nursing majors 1110 1700 2810 Totals 1290 2710 4000 (e) 0.0450 24. Given that the selected student is female, find the probability that the student is a nursing major? (e) 0.1200 (a) 0.0380 (b) 0.2525 (c) 0.3727 (d) 0.9772
2) The probability that a randomly selected student is female given that the student received a business degree, is

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