What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 100s of dollars) for 30 days. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83

(a) If you put $8,000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain your reasoning and show work. (No histogram needed)

(b) If you are willing to run out of cash for 7% of the days, what is the least amount of cash the bank should put in the ATM each day? Explain your reasoning and show work.