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In a university the students were asked about online teaching and face-to-face classroom teaching. 65% of...

In a university the students were asked about online teaching and face-to-face classroom teaching. 65% of the students prefer classrooms(C), while the remainder would rather the online teaching (L). Suppose three students are selected at random. Let the random variable ‘X’ be the number of students who prefer classrooms.

  1. Find the probability distribution for X.
  2. Find the probability that more than one student prefers classrooms.
  3. Suppose at least one student prefers classrooms, what is the probability that all three students prefer classrooms.

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