Four buses carrying 151 high school students arrive to Montreal. The buses carry, respectively, 39, 47, 29, and 36 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y:

 

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