A craft store has 25 assorted grab bags on sale for 300 each

A craft store has 25 assorted grab bags on sale for $3.00 each. Fifteen of the bags contain $3.00 worth of merchandise, six contain $2.00 worth, two contain $5.00 worth of merchandise, and there are one each containing $10.00 and $20.00 worth of merchandise. Suppose that you purchase one bag; what is your expected gain or loss? Round the answer the nearest cents
A craft store has 25 assorted grab bags on sale for $3.00 each. Fifteen of the bags contain $3.00 worth of merchandise, six contain $2.00 worth, two contain $5.00 worth of merchandise, and there are one each containing $10.00 and $20.00 worth of merchandise. Suppose that you purchase one bag; what is your expected gain or loss? Round the answer the nearest cents

Solution

Consider:

Thus, the mean worth of each bag is

  
Mean = Sum(xf) / Sum(f) =    3.88  

Thus, the expected gain is $3.88 - 3.00 = $0.88 [ANSWER]

x f x f
3 15 45
2 6 12
5 2 10
10 1 10
20 1 20
A craft store has 25 assorted grab bags on sale for $3.00 each. Fifteen of the bags contain $3.00 worth of merchandise, six contain $2.00 worth, two contain $5.

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