3. Suppose that 10 balls are put into 5 boxes, with each ball independently being put in any one of the boxes with equal likelihood. balls. any (a) Find the expected number of boxes that do not have (b) Find the expected number of boxes that have exactly 1 ball.

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3. Suppose that 10 balls are put into 5 boxes, with each ball independently being put in any one of the
boxes with equal likelihood.
(a) Find the expected number of boxes that do not have any balls.
(b) Find the expected number of boxes that have exactly 1 ball.
Transcribed Image Text:3. Suppose that 10 balls are put into 5 boxes, with each ball independently being put in any one of the boxes with equal likelihood. (a) Find the expected number of boxes that do not have any balls. (b) Find the expected number of boxes that have exactly 1 ball.
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