Question

An urn contains nine $1 bills and one $20 bill. Let the random variable X be...

An urn contains nine $1 bills and one $20 bill. Let the random variable X be the total amount that results when two bills are drawn from the urn without replacement.
(a) Describe the sample space S of the random experiment and specify the brobabilities of its elementary events.
(b) Show the mapping from S to Sx, the range of X.
(c) Find the prababilities for the various valuses of X.
(d) What is the prabability that the amount is more than $2? And more than $20?
(e) Find the expected value and variance of the amount drawn from the urn.

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