Here you use the E[x] (expected value of the suitcase being picked) from the last part of the problem which is 1/5 the summation from i=0 to 4 of 10^i. after finding this summation you take that answer and multiply it by the amount he will take home which is .70 of it

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett