The dorm in which you live houses 2% of the total student population. You know 40%...
The dorm in which you live houses 2% of the total student population. You know 40% of the students living in your dorm, but you know only 5% of the rest of the population. A lot of students (including yourself) go to a party, and you are seated at a table with 3 other people. The number of people is very large, so you can assume that the events of knowing different people at the party are independent.
a. For i = 0; 1; 2; 3, what is the probability of you sitting with i people that you know?
b. Given that i students (where i = 0; 1; 2 or 3) from your dorm are sitting at your table, what is the probability that you know all the people at your table?
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The dorm in which you live houses 2% of the total student
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