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On a given day, a U of C student has two different buses she could take to campus: Bus A and Bus B. Suppose that

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On a given day, a U of C student has two different buses she could take to campus: Bus A and Bus B. Suppose that she takes Bus A one out of every 5 days. If the student takes Bus A. she will be late 26.7% of the time (otherwise she will be on time). If the student takes Bus B, she will be late 29.5% of the time (otherwise she will be on time). Use this information to answer the following questions. a. Complete the following contingency table. Please enter your answers as probabilities, not percentages or counts. Do NOT round any values in the table! Note: you must complete at least the table to receive any marks on this question. Event Bus A Bus B Row Totals Late On Time Column Totals b. If the student is on time on a given day, what is the probability that she took Bus B? Answer: |Round to at least FIVE digits after the decimal if necessary. c. On a given day, what is the probability that the student is late and that the student took Bus A? Answer: Round to at least FIVE digits after the decimal if necessary. d. On a given day, what is the probability that the student is on time or that the student took Bus A? Answer: Round to at least FIVE digits after the decimal if necessary

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