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A student organization is trying to decide whether or not to offer more movies on campus. A group of 1000 students was asked if they

A student organization is trying to decide whether or not to offer more movies on campus. A group of 1000 students was asked if they were in favor of more movies on campus. The results by gender are shown in the table below:

Gender In Favour no opinion opposed
male 330 165 55
female 225 180 45

Q1: Given that the a randomly selected student is female, find conditional the probability that the student is in favor of more movies on campus.

Q2: Are that the two events, students' views about movies on campus, and being a female independent or dependent? Justify your answer.

Q3:

Suppose a student who has no opinion on movie night on campus is randomly selected. What is the probability that this randomly selected person is a female?

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