The report "Great Jobs, Great Lives. The Relationship Between Student Debt, Experiences and Perceptions of College Worth"† gave information on the percentage of recent college graduates (those graduating between 2006 and 2015, inclusive) who strongly agree with the statement "My college education was worth the cost." Suppose that a college graduate will be selected at random, and consider the following events. A = event that the selected graduate strongly agrees that education was worth the cost N = event that the selected graduate finished college with no student debt H = event that the selected graduate finished college with high student debt (over $50,000) The following probability estimates were given in the report. P(A) = 0.38 P(A|N) = 0.49 P(A|H) = 0.18 (a) Interpret the value of P(A|N). Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.49. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with no student debt is 0.49.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.49. (b) Interpret the value of P(A|H). Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.18. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with high student debt is 0.18.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.18. (c) Are the events A and H independent? Justify your answer. The events A and H are independent because P(A|H) ≠ P(A).The events A and H are not independent because P(A|H) ≠ P(A). The events A and H are independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) > P(A).

The report "Great Jobs, Great Lives. The Relationship Between Student Debt, Experiences and Perceptions of College Worth"† gave information on the percentage of recent college graduates (those graduating between 2006 and 2015, inclusive) who strongly agree with the statement "My college education was worth the cost." Suppose that a college graduate will be selected at random, and consider the following events. A = event that the selected graduate strongly agrees that education was worth the cost N = event that the selected graduate finished college with no student debt H = event that the selected graduate finished college with high student debt (over $50,000) The following probability estimates were given in the report. P(A) = 0.38 P(A|N) = 0.49 P(A|H) = 0.18 (a) Interpret the value of P(A|N). Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.49. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with no student debt is 0.49.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.49. (b) Interpret the value of P(A|H). Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.18. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with high student debt is 0.18.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.18. (c) Are the events A and H independent? Justify your answer. The events A and H are independent because P(A|H) ≠ P(A).The events A and H are not independent because P(A|H) ≠ P(A). The events A and H are independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) > P(A).

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Description: The report "Great Jobs, Great Lives. The Relationship Between Student Debt, Experiences and Perceptions of College Worth"† gave information on the percentage of recent college graduates (those graduating between 2006 and 2015, inclusive) who strongly

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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A	=	event that the selected graduate strongly agrees that education was worth the cost
N	=	event that the selected graduate finished college with no student debt
H	=	event that the selected graduate finished college with high student debt (over $50,000)

The following probability estimates were given in the report.

P(A) = 0.38 P(A|N) = 0.49 P(A|H) = 0.18

(a)

Interpret the value of

P(A|N).

Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.49. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with no student debt is 0.49.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.49.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.49.

(b)

Interpret the value of

P(A|H).

Given that the selected graduate finished college with high student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with no student debt is 0.18. The probability that the selected graduate strongly agrees that education was worth the cost and that the selected graduate finished college with high student debt is 0.18.Given that the selected graduate finished college with no student debt, the probability that the selected graduate strongly agrees that education was worth the cost is 0.18.Given that the selected graduate strongly agrees that education was worth the cost, the probability that the selected graduate finished college with high student debt is 0.18.

(c)

Are the events A and H independent? Justify your answer.

The events A and H are independent because P(A|H) ≠ P(A).The events A and H are not independent because P(A|H) ≠ P(A). The events A and H are independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) = P(A).The events A and H are not independent because P(A|H) > P(A).

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