Question

You have a collection of different dollar bills: Three $1 bills Four $5 bills Two $20...

You have a collection of different dollar bills:

Three $1 bills

Four $5 bills

Two $20 bills

You buy a scoop of ice cream for $0.75, and you choose one of the bills at random to pay for it.

How much change can you expect to get (On average how much change do you get back)?

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Answer #1
X (bill) P(X) X*P(X)
1 3/9 0.333
5 4/9 2.222
20 2/9 4.444

mean = E[X] = Σx*P(X) =            7.0000

expected change = $7 - $0.75 = $6.25 (answer)

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