Course Solutions Uncategorized (Solved) : 3 5 Marks Say M Balls Numbered 1 M N Bins Numbered 1 N Throwing Balls One One Bins Throw B Q31764139 . . . .

(Solved) : 3 5 Marks Say M Balls Numbered 1 M N Bins Numbered 1 N Throwing Balls One One Bins Throw B Q31764139 . . . .

 

3. [5 marks] Say we have m balls numbered from 1 to m, and we have n bins numbered from 1 to n. We are throwing these balls one by one into the bins. When we throw a ball, it goes with equal probability of 1/n into any of the n bins. What is the expected number of balls in bin number 1 after throwing all m balls into the bins? Hint: This problem is very easy if we define the random variables as follows. Assume that random variable Y represents answer which is the number of 

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