Suppose that n balls are thrown independently and uniformly at random into n bins.
(a) find t...
Mathematics, 23.11.2019 04:31 nataoli3375
Suppose that n balls are thrown independently and uniformly at random into n bins.
(a) find the conditional probability that bin i has one ball given that exactly one ball fell into the first three bins.
(b) find the conditional expectation of the number of balls in bin 1 under the condition that bin 2 received no balls.
(c) write an expression for the probability that bin 1 receives more balls than bin 2.
Answers: 3
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