The following table represents undergraduate students at a local university. One student is chosen at random.| | Freshman | Sophomore | Junior | Senior | Total ||-------------------|----------|-----------|--------|--------|--------|| **Live On Campus** | 2001 | 3059 | 1886 | 1804 | 8750 || **Live Off Campus** | 2483 | 1803 | 1413 | 3815 | 9514 || **Total** | 4484 | 4862 | 3299 | 5619 | 18264 |**a)** Find the probability that the student lives off campus *or* is a junior. [Input box]**b)** Find the probability that the student lives on campus *and* is a senior. [Input box]**c)** Find the probability that the student is a freshman given that they live on campus. [Input box][Submit Question Button] ### Explanation of Probabilities:- **a)** Probability of living off campus *or* being a junior: Calculate using the formula for the probability of the union of two events, which requires adding the probabilities of each event and subtracting the probability of their intersection. - **b)** Probability of living on campus *and* being a senior: Determine by dividing the number of students who are both on-campus seniors by the total number of students.- **c)** Conditional probability of being a freshman given living on campus: Use the formula for conditional probability which is the probability of the intersection of the two events divided by the probability of the condition event occurring.

Given information: FreshmanSophomoreJuniorSeniorTotalLive on Campus20013059188618048750Live off…

Answered: The following table represents…

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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