Have the gains in student learning attributed to education technology justified?colleges' spending in this?area? As part of a?survey, professors, and technology?leaders, were asked this question. The results from the poll are summarized in the accompanying table. Answer parts?(a) through?(d) below.

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a. 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.)

b. Given that an academic professional is a?professor, what is the probability that the professor 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.)

c. 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.)

d. 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?

Summary Table ACADEMIC PROFESSIONAL JUSTIFIED? Professor Technology Leader Total Yes 641 1134 1'45 No 1,399 1,945 3,153 Total 1,949 1,949 3,999