Problem #4: Students with the last name of P-T: Please review Section 4.2. Have the gains in student learning attributed to education technology justified colleges' spending in this area? As accompanying table. part of a survey, professors, and technology leaders, were asked this question. The results from the poll are summarized in the JUSTIFIED? Professor Technology Leader Yes Total 513 210 723 No 1201 1504 2705 Total 1714 1714 3428 Given that an academic professional is a professor, what is the probability that the professional indicates gains in students' learning attributable to education technology have justified colleges' spending in this area? ( Round to three decimal places as needed.) Given that an academic professional is a professor, what is the probability that the professional does not indicate gains in students' learning attributable to education technology have justified colleges' spending in this area? (Round to three decimal places as needed.) Given that an academic professional is a technology leader, what is the probability that the professional indicates gains in students' learning attributable to education technology have justified colleges' spending in this area? ( Round to three decimal places as needed.) Given that an academic professional is a technology leader, what is the probability that the professional does not indicate gains in students' learning attributable to education technology have justified colleges' spending in this area? (Round to three decimal places as needed.) Given an academic professional is a professor or a technology leader, what is the probability that the professional indicates gains in students' learning attributable to education technology have justified colleges' spending in this area? ( Round to three decimal places as needed.) Given an academic professional is a professor or a technology leader, what is the probability that the professional does not indicate gains in students' learning attributable to education technology have justified colleges' spending in this area? (Round to three decimal places as needed.)