Online Study for the Autumn 2020 Semester. In April 2020, the American Association of Collegiate Registrars and Admissions Officers published a report on students’ decision to attend in-person courses or to continue studying online for the semester starting in Autumn 2020. As per the study’s reports, 58% of 262 college and university respondents were either considering or had already decided to continue studying fully online through the semester, while 62% were thinking about decreasing or had already decreased the number of in-person courses. Of these college and university respondents, 86% were full-time undergraduate students and 13% were foreign students.

a. What is the probability that a randomly selected respondent is a full-time undergraduate student who is either considering or has decided to continue studying fully online for the Autumn 2020 semester?

b. What is the probability that a randomly selected respondent is a foreign student who is either considering or has decided to continue studying fully online for the Autumn 2020 semester?

c. The survey reports that 70% of the respondents are full-time undergraduate students. For a randomly selected respondent, are the two events O = 5student has chosen to study fully online for the Autumn 2020 semester6 and U = 5full-time undergraduate student6 independent?