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When collecting taxes, a tax company rounds 60,000 taxes to the nearest ten dollars. a) Stating any assumptions made, compute the probability that the total

When collecting taxes, a tax company rounds 60,000 taxes to the nearest ten dollars. a) Stating any assumptions made, compute the probability that the total taxes collected will be altered by more than $500 from the original value (before rounding). No other information is provided. Show all details of your working. [15 marks] b) Comment on should the tax company be worried that the amount altered with this rounding exceeds $2,000? Please explain your answer briefly. [5 marks]

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