Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data. Suppose we select one of the students at random.### Table SummaryThe table is divided into three rows under "Most important"—Grades, Athletic, and Popular—intersecting with columns representing the 4th, 5th, and 6th grades. Each cell indicates the count of students selecting a particular category in each grade, as well as row and column totals.**Table Breakdown:**- **Grades:** - 4th Grade: 49 - 5th Grade: 50 - 6th Grade: 69 - Total: 168- **Athletic:** - 4th Grade: 24 - 5th Grade: 36 - 6th Grade: 38 - Total: 98- **Popular:** - 4th Grade: 19 - 5th Grade: 22 - 6th Grade: 28 - Total: 69**Column Totals:**- 4th Grade: 92- 5th Grade: 108- 6th Grade: 135- Overall Total: 335### Probability CalculationThe question asks: What is the probability that the student is a sixth-grader or rated good grades as important?The options for probability calculations are:- $ \frac{69}{168} = 0.411 $- $ \frac{69}{335} = 0.206 $- $ \frac{69}{135} = 0.511 $- $ \frac{135 + 168 - 69}{335} = 0.904 $- $ \frac{69 + 38 + 28 + 49 + 50}{335} = 0.609 $ Hence, the correct computation of probability is $ \frac{69 + 38 + 28 + 49 + 50}{335} $, which equals 0.609.

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Answered: Researchers carried out a survey of…

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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