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What is the pmf for the indicator random variable

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Reference no: EM132386857

For Christmas a teacher of a class of n children asks their parents to leave a present under the Christmas tree in the classroom. The day after each child picks a present at random. The problem is related to computing the expected number of children that end up getting the present bought by their own parents.

a. What is the pmf for the indicator random variable I_i corresponding to the event kid I gets the present bought by their own parents?

b. Are I_i and I_j independent if i does not equal j? Justify your answer.

c. What is the expected number of children that end up getting the present bought by their own parents?

Reference no: EM132386857

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