Each week 100 customers get cards for a drawing. Ten of the cards are worth $200

Question

Each week 100 customers get cards for a drawing. Ten of the cards are worth $200, 10 are worth $100, 20 are worth $50, and the rest are worth $20. A manager draws cards at random, awarding the customers the amount specified on their card. The drawings continue until the store has given away more than $400. Estimate the average number of winners each week. Perform 10 trials using the random numbers below Let 0-5 represent $20, 6-7 represent $50, 8 represent $100, and 9 represent $200. The average number of winners each week is

Explanation / Answer

Trial 1, Number of customers = 30414948 = 20 + 20 + 20 + 20 + 20 + 200 + 20 + 100 = 420 so 8customers

Trial 2,  Number of customers = 49659 = 20 + 200 + 50 + 20 + 200= 540 ; 5 customers

Trial 3, Number of customers = 85670117156 = 100 + 20 + 50 + 50 + 20 + 20 + 20 + 50 + 20 + 20 + 50 = 420 so 11 customers

Trial 4, Number of customers = 8066051224237 = 100 + 20 + 50 + 50 + 20 + 20 + 20 +20 + 20 + 20 + 20 +20 + 50 = 430 so 13 customers

Trial 5, Number of customers = 457503704628 = 20 + 20 + 50 + 20 + 20 + 20 + 50 + 20+ 20 + 50 + 20 + 100 = 410 so 12 customers

Trial 6, Number of customers = 357309217= 20 + 20 + 50 + 20 + 20 + 200 + 20 + 20 + 50 = 420 so 9 customers

Trial 7, Number of customers = 522885355351= 20 + 20 + 20 + 100 + 100 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 400 so 12 customers

Trial 8, Number of customers = 660485181= 50 + 50 + 20 + 20 + 100 + 20 + 20 + 100 + 20= 400 so 9customers

Trial 9, Number of customers =957847= 200 + 20 + 50 + 100 + 20 +50 = 440 so 6 customers

Trail 10, Number of customers =4016654402552549 = 20 + 20 + 20 + 50 + 50 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 200 = 560 so 16 customers

so We will find average of all 10 trials

Avvergae = ( 8 + 5 + 11 + 13 + 12 + 9 + 12 + 9 + 6 + 16)/ 10 = 10.1

THe average number of winner each week is = 10.1 based on the trials

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